<PAGE>   1
   As filed with the Securities and Exchange Commission on September 14, 2001
                                                    Registration No. ___________
--------------------------------------------------------------------------------

                      SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                 --------------

                                    FORM S-8
                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933

                                 ---------------

                              LSI LOGIC CORPORATION
               (Exact name of issuer as specified in its charter)

           DELAWARE                                   94-2712976
   (State of Incorporation)              (I.R.S. Employer Identification No.)

                             1551 McCarthy Boulevard
                           Milpitas, California 95035
                    (Address of Principal Executive Offices)

                              LSI LOGIC CORPORATION
                       1999 NONSTATUTORY STOCK OPTION PLAN
                            (Full title of the Plan)

                                 DAVID G. PURSEL
                         Vice President, General Counsel
                              LSI LOGIC CORPORATION
               1551 McCarthy Boulevard, Milpitas, California 95035
                                 (408) 433-8000
            (Name, address and telephone number of agent for service)

                         CALCULATION OF REGISTRATION FEE
<TABLE>
<CAPTION>
=================================================================================================================
                                                 Proposed               Proposed Maximum
Title of Securities       Amount to be           Maximum Offering       Aggregate             Amount of
to be Registered          Registered             Price Per Unit*        Offering Price*       Registration Fee
-----------------------------------------------------------------------------------------------------------------
<S>                       <C>                    <C>                    <C>                   <C>
Common Stock              13,000,000 shares      $17.71                 $230,230,000          $57,558
=================================================================================================================
</TABLE>

*Estimated in accordance with Rule 457(c) for the purpose of calculating the
registration fee on the basis of $ 17.71 per share, which was the average of the
high and low prices of the Common Stock on the New York Stock Exchange, Inc. on
September 10, 2001.

================================================================================


<PAGE>   2

                                     PART II
                           INFORMATION REQUIRED IN THE
                             REGISTRATION STATEMENT

ITEM 3. INCORPORATION OF DOCUMENTS BY REFERENCE.

         There are hereby incorporated by reference in this Registration
Statement the following documents and information previously filed with the
Securities and Exchange Commission:

         (a) The Company's Annual Report on Form 10-K for the fiscal year ended
         December 31, 2000 filed pursuant to Section 13 of the Securities
         Exchange Act of 1934, as amended (the "Exchange Act");

         (b) The Company's Quarterly Reports on Form 10-Q for the quarters ended
         April 1, 2001 and July 1, 2001 filed pursuant to Section 13 of the
         Exchange Act;

         (c) The description of the Company's Amended and Restated Preferred
         Shares Rights Agreement contained in the Company's Registration
         Statement on Form 8-A-12G/A filed on December 8, 1998, pursuant to
         Section 12(g) of the Exchange Act;

         (d) The Company's Current Reports on Form 8-K dated January 24, 2001,
         March 8, 2001 April 4, 2001, April 25, 2001, May 21, 2001, June 5,
         2001, June 15, 2001, June 26, 2001, July 30, 2001, August 6, 2001 and
         on Form 8-K/A dated June 18, 2001 and July 20, 2001 pursuant to Section
         13 of the Exchange Act; and

         (e) The description of the Company's Common Stock contained in the
         Company's Registration Statement on Form 8-A filed on August 29, 1989,
         pursuant to Section 12(b) of the Exchange Act.

         All documents filed by the Company pursuant to Sections 13(a) and (c),
14 and 15(d) of the Exchange Act on or after the date of this Registration
Statement and prior to the filing of a post-effective amendment which indicates
that all securities offered have been sold or which deregisters all securities
then remaining unsold, shall be deemed to be incorporated by reference in this
Registration Statement and to be part hereof from the date of filing such
documents.

ITEM 4. DESCRIPTION OF SECURITIES.

         Not applicable.

ITEM 5. INTERESTS OF NAMED EXPERTS AND COUNSEL.

         Not applicable.

ITEM 6. INDEMNIFICATION OF DIRECTORS AND OFFICERS.

         Section 145 of the Delaware General Corporation Law authorizes a court
to award, or a corporation's Board of Directors to grant, indemnity to directors
and officers in terms sufficiently broad to permit such indemnification under
certain circumstances for liabilities (including reimbursement for expenses
incurred) arising under the Securities Act of 1933. Section 10 of the
Certificate of Incorporation and Article VI of the Bylaws of the Company provide
for indemnification of certain agents



                                       2
<PAGE>   3

to the maximum extent permitted by the Delaware General Corporation Law. Persons
covered by these indemnification provisions include current and former
directors, officers, employees and other agents of the Company, as well as
persons, who serve at the request of the Company as directors, officers,
employees or agents of another enterprise. In addition, the Company has entered
into indemnification agreements with its directors and officers pursuant to
which the Company has agreed to indemnify such individuals and to advance
expenses incurred in defending any action or proceeding to the fullest extent
permitted by Section 145 of the Delaware General Corporation Law.

ITEM 7. EXEMPTION FROM REGISTRATION CLAIMED.

         Not applicable.

ITEM 8. EXHIBITS.

<TABLE>
<CAPTION>
Exhibit Number
--------------
<S>      <C>
 3.1     Restated Certificate of Incorporation.(1)
 4.1     Amended and Restated Preferred Shares Rights Agreement, dated November 20, 1998.(2)
 4.2     LSI Logic Corporation 1999 Nonstatutory Stock Option Plan.(3)
 5.1     Opinion of Counsel as to legality of securities being registered.
23.1     Consent of Independent Accountants.
23.2     Consent of Counsel (contained in Exhibit 5.1 hereto).
24.1     Power of Attorney (see page 6).
</TABLE>

--------------------------------------------------------------------------------
(1) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-46436) filed on September 22, 2000
(2) Incorporated by reference to exhibits filed with the Company's Form 8-A12G/A
    filed on December 8, 1998
(3) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-90951) filed on November 15, 1999


                                       3
<PAGE>   4

ITEM 9. UNDERTAKINGS.

         (a) The undersigned registrant hereby undertakes:

              (1) To file, during any period in which offers or sales are being
made, a post-effective amendment to this registration statement to include any
material information with respect to the plan of distribution not previously
disclosed in the registration statement or any material change to such
information in the registration statement.

              (2) That, for the purpose of determining any liability under the
Securities Act of 1933, each such post-effective amendment shall be deemed to be
a new registration statement relating to the securities offered therein, and the
offering of such securities at that time shall be deemed to be the initial bona
fide offering thereof.

              (3) To remove from registration by means of a post-effective
amendment any of the securities being registered that remain unsold at the
termination of the offering.

         (b) The undersigned registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
Registrant's annual report pursuant to Section 13(a) or Section 15(d) of the
Securities Exchange Act of 1934 (and, where applicable, each filing of an
employee benefit plan's annual report pursuant to Section 15(d) of the
Securities Exchange Act of 1934) that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.

         (c) Insofar as indemnification for liabilities arising under the
Securities Act of 1933 may be permitted to directors, officers and controlling
persons of the registrant pursuant to the Delaware General Corporation Law, the
By-Law provisions, Section 11 of the Certificate of Incorporation of the
registrant and the indemnification agreements described above in Item 6, the
registrant has been advised that in the opinion of the Securities and Exchange
Commission such indemnification is against public policy as expressed in the Act
and is, therefore, unenforceable. In the event that a claim for indemnification
against such liabilities (other than the payment by the registrant of expenses
paid by a director, officer or controlling person of the registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered hereunder, the registrant will, unless in the opinion of its counsel
the matter has been settled by controlling precedent, submit to a court of
appropriate jurisdiction the question of whether such indemnification by it is
against public policy as expressed in the Act and will be governed by the final
adjudication of such issue.



                                       4
<PAGE>   5


                                   SIGNATURES

Pursuant to the requirements of the Securities Act of 1933, the Registrant, LSI
Logic Corporation, a corporation organized and existing under the laws of the
State of Delaware, certifies that it has reasonable grounds to believe that it
meets all of the requirements for filing on Form S-8 and has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Milpitas, State of California, on this 14th day
of September, 2001.

                                          LSI LOGIC CORPORATION

                                          By: /s/ Bryon Look
                                             ---------------------------------
                                             Bryon Look
                                             Executive Vice President, Finance
                                             and Chief Financial Officer



                                       5
<PAGE>   6


                                POWER OF ATTORNEY

KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears
below constitutes and appoints Wilfred J. Corrigan and Bryon Look, jointly and
severally, his attorneys-in-fact, each with the power of substitution, for him
in any and all capacities, to sign any amendments to this Registration
Statement, and to file the same, with exhibits thereto and other documents in
connection therewith, with the Securities and Exchange Commission, hereby
ratifying and confirming all that each of said attorneys-in-fact, or his
substitute or substitutes, may do or cause to be done by virtue hereof.

         Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed by the following persons in the
capacities and on the dates indicated.

<TABLE>
<CAPTION>
               SIGNATURE                           TITLE                                DATE
               ---------                           -----                                ----
<S>                             <C>                                               <C>
/s/ Wilfred J. Corrigan         Chairman, Chief Executive Officer and Director    September 14, 2001
------------------------------  (Principal Executive Officer)
    Wilfred J. Corrigan

/s/ Bryon Look                  Executive Vice President, Finance and Chief       September 14, 2001
------------------------------  Financial Officer (Principal Financial Officer)
    Bryon Look

/s/ T.Z. Chu                    Director                                          September 14, 2001
------------------------------
    T.Z. Chu

/s/ Malcolm R. Currie           Director                                          September 14, 2001
------------------------------
    Malcolm R. Currie

/s/ James H. Keyes              Director                                          September 14, 2001
------------------------------
    James H. Keyes

/s/ R. Douglas Norby            Director                                          September 14, 2001
------------------------------
    R. Douglas Norby

/s/ Matthew J. O'Rourke         Director                                          September 14, 2001
------------------------------
    Matthew J. O'Rourke

/s/ Gregorio Reyes              Director                                          September 14, 2001
------------------------------
    Gregorio Reyes

/s/ Larry W. Sonsini            Director                                          September 14, 2001
------------------------------
    Larry W. Sonsini
</TABLE>



                                       6
<PAGE>   7


                                  EXHIBIT INDEX

<TABLE>
<CAPTION>
Exhibit
Number     Description
-------    -----------
<S>        <C>
 3.1       Restated Certificate of Incorporation.(1)
 4.1       Amended and Restated Preferred Shares Rights Agreement, dated November 20, 1998.(2)
 4.2       LSI Logic Corporation 1999 Nonstatutory Stock Option Plan.(3)
 5.1       Opinion of Counsel as to legality of securities being registered.
23.1       Consent of Independent Accountants.
23.2       Consent of Counsel (contained in Exhibit 5.1 hereto).
24.1       Power of Attorney (see page 6).
</TABLE>
--------------------------------------------------------------------------------
(1) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-46436) filed on September 22, 2000
(2) Incorporated by reference to exhibits filed with the Company's Form 8-A12G/A
    filed on December 8, 1998
(3) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-90951) filed on November 15, 1999



                                       7
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{"company-data": {"conformed-name": "LSI LOGIC CORP", "cik": "0000703360", "assigned-sic": "3674", "irs-number": "942712976", "state-of-incorporation": "DE", "fiscal-year-end": "1231"}, "filing-values": {"form-type": "S-8", "act": "33", "file-number": "333-69380", "film-number": "1737257"}, "business-address": {"street1": "1551 MCCARTHY BLVD", "street2": "MS D 106", "city": "MILPITAS", "state": "CA", "zip": "95035", "phone": "4084338000"}, "mail-address": {"street1": "1551 MCCARTHY BLVD", "street2": "MS D 106", "city": "MILPITAS", "state": "CA", "zip": "95035"}}
1
   As filed with the Securities and Exchange Commission on September 14, 2001
                                                    Registration No. ___________
--------------------------------------------------------------------------------

                      SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                 --------------

                                    FORM S-8
                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933

                                 ---------------

                              LSI LOGIC CORPORATION
               (Exact name of issuer as specified in its charter)

           DELAWARE                                   94-2712976
   (State of Incorporation)              (I.R.S. Employer Identification No.)

                             1551 McCarthy Boulevard
                           Milpitas, California 95035
                    (Address of Principal Executive Offices)

                              LSI LOGIC CORPORATION
                       1999 NONSTATUTORY STOCK OPTION PLAN
                            (Full title of the Plan)

                                 DAVID G. PURSEL
                         Vice President, General Counsel
                              LSI LOGIC CORPORATION
               1551 McCarthy Boulevard, Milpitas, California 95035
                                 (408) 433-8000
            (Name, address and telephone number of agent for service)

                         CALCULATION OF REGISTRATION FEE
=================================================================================================================
                                                 Proposed               Proposed Maximum
Title of Securities       Amount to be           Maximum Offering       Aggregate             Amount of
to be Registered          Registered             Price Per Unit*        Offering Price*       Registration Fee
-----------------------------------------------------------------------------------------------------------------
Common Stock              13,000,000 shares      $17.71                 $230,230,000          $57,558
=================================================================================================================
*Estimated in accordance with Rule 457(c) for the purpose of calculating the
registration fee on the basis of $ 17.71 per share, which was the average of the
high and low prices of the Common Stock on the New York Stock Exchange, Inc. on
September 10, 2001.

================================================================================
2

                                     PART II
                           INFORMATION REQUIRED IN THE
                             REGISTRATION STATEMENT

ITEM 3. INCORPORATION OF DOCUMENTS BY REFERENCE.

         There are hereby incorporated by reference in this Registration
Statement the following documents and information previously filed with the
Securities and Exchange Commission:

         (a) The Company's Annual Report on Form 10-K for the fiscal year ended
         December 31, 2000 filed pursuant to Section 13 of the Securities
         Exchange Act of 1934, as amended (the "Exchange Act");

         (b) The Company's Quarterly Reports on Form 10-Q for the quarters ended
         April 1, 2001 and July 1, 2001 filed pursuant to Section 13 of the
         Exchange Act;

         (c) The description of the Company's Amended and Restated Preferred
         Shares Rights Agreement contained in the Company's Registration
         Statement on Form 8-A-12G/A filed on December 8, 1998, pursuant to
         Section 12(g) of the Exchange Act;

         (d) The Company's Current Reports on Form 8-K dated January 24, 2001,
         March 8, 2001 April 4, 2001, April 25, 2001, May 21, 2001, June 5,
         2001, June 15, 2001, June 26, 2001, July 30, 2001, August 6, 2001 and
         on Form 8-K/A dated June 18, 2001 and July 20, 2001 pursuant to Section
         13 of the Exchange Act; and

         (e) The description of the Company's Common Stock contained in the
         Company's Registration Statement on Form 8-A filed on August 29, 1989,
         pursuant to Section 12(b) of the Exchange Act.

         All documents filed by the Company pursuant to Sections 13(a) and (c),
14 and 15(d) of the Exchange Act on or after the date of this Registration
Statement and prior to the filing of a post-effective amendment which indicates
that all securities offered have been sold or which deregisters all securities
then remaining unsold, shall be deemed to be incorporated by reference in this
Registration Statement and to be part hereof from the date of filing such
documents.

ITEM 4. DESCRIPTION OF SECURITIES.

         Not applicable.

ITEM 5. INTERESTS OF NAMED EXPERTS AND COUNSEL.

         Not applicable.

ITEM 6. INDEMNIFICATION OF DIRECTORS AND OFFICERS.

         Section 145 of the Delaware General Corporation Law authorizes a court
to award, or a corporation's Board of Directors to grant, indemnity to directors
and officers in terms sufficiently broad to permit such indemnification under
certain circumstances for liabilities (including reimbursement for expenses
incurred) arising under the Securities Act of 1933. Section 10 of the
Certificate of Incorporation and Article VI of the Bylaws of the Company provide
for indemnification of certain agents

                                       2
3

to the maximum extent permitted by the Delaware General Corporation Law. Persons
covered by these indemnification provisions include current and former
directors, officers, employees and other agents of the Company, as well as
persons, who serve at the request of the Company as directors, officers,
employees or agents of another enterprise. In addition, the Company has entered
into indemnification agreements with its directors and officers pursuant to
which the Company has agreed to indemnify such individuals and to advance
expenses incurred in defending any action or proceeding to the fullest extent
permitted by Section 145 of the Delaware General Corporation Law.

ITEM 7. EXEMPTION FROM REGISTRATION CLAIMED.

         Not applicable.

ITEM 8. EXHIBITS.
Exhibit Number
--------------
3.1     Restated Certificate of Incorporation.(1)
 4.1     Amended and Restated Preferred Shares Rights Agreement, dated November 20, 1998.(2)
 4.2     LSI Logic Corporation 1999 Nonstatutory Stock Option Plan.(3)
 5.1     Opinion of Counsel as to legality of securities being registered.
23.1     Consent of Independent Accountants.
23.2     Consent of Counsel (contained in Exhibit 5.1 hereto).
24.1     Power of Attorney (see page 6).
--------------------------------------------------------------------------------
(1) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-46436) filed on September 22, 2000
(2) Incorporated by reference to exhibits filed with the Company's Form 8-A12G/A
    filed on December 8, 1998
(3) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-90951) filed on November 15, 1999

                                       3
4

ITEM 9. UNDERTAKINGS.

         (a) The undersigned registrant hereby undertakes:

              (1) To file, during any period in which offers or sales are being
made, a post-effective amendment to this registration statement to include any
material information with respect to the plan of distribution not previously
disclosed in the registration statement or any material change to such
information in the registration statement.

              (2) That, for the purpose of determining any liability under the
Securities Act of 1933, each such post-effective amendment shall be deemed to be
a new registration statement relating to the securities offered therein, and the
offering of such securities at that time shall be deemed to be the initial bona
fide offering thereof.

              (3) To remove from registration by means of a post-effective
amendment any of the securities being registered that remain unsold at the
termination of the offering.

         (b) The undersigned registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
Registrant's annual report pursuant to Section 13(a) or Section 15(d) of the
Securities Exchange Act of 1934 (and, where applicable, each filing of an
employee benefit plan's annual report pursuant to Section 15(d) of the
Securities Exchange Act of 1934) that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.

         (c) Insofar as indemnification for liabilities arising under the
Securities Act of 1933 may be permitted to directors, officers and controlling
persons of the registrant pursuant to the Delaware General Corporation Law, the
By-Law provisions, Section 11 of the Certificate of Incorporation of the
registrant and the indemnification agreements described above in Item 6, the
registrant has been advised that in the opinion of the Securities and Exchange
Commission such indemnification is against public policy as expressed in the Act
and is, therefore, unenforceable. In the event that a claim for indemnification
against such liabilities (other than the payment by the registrant of expenses
paid by a director, officer or controlling person of the registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered hereunder, the registrant will, unless in the opinion of its counsel
the matter has been settled by controlling precedent, submit to a court of
appropriate jurisdiction the question of whether such indemnification by it is
against public policy as expressed in the Act and will be governed by the final
adjudication of such issue.

                                       4
5

                                   SIGNATURES

Pursuant to the requirements of the Securities Act of 1933, the Registrant, LSI
Logic Corporation, a corporation organized and existing under the laws of the
State of Delaware, certifies that it has reasonable grounds to believe that it
meets all of the requirements for filing on Form S-8 and has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Milpitas, State of California, on this 14th day
of September, 2001.

                                          LSI LOGIC CORPORATION

                                          By: /s/ Bryon Look
                                             ---------------------------------
                                             Bryon Look
                                             Executive Vice President, Finance
                                             and Chief Financial Officer

                                       5
6

                                POWER OF ATTORNEY

KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears
below constitutes and appoints Wilfred J. Corrigan and Bryon Look, jointly and
severally, his attorneys-in-fact, each with the power of substitution, for him
in any and all capacities, to sign any amendments to this Registration
Statement, and to file the same, with exhibits thereto and other documents in
connection therewith, with the Securities and Exchange Commission, hereby
ratifying and confirming all that each of said attorneys-in-fact, or his
substitute or substitutes, may do or cause to be done by virtue hereof.

         Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed by the following persons in the
capacities and on the dates indicated.
SIGNATURE                           TITLE                                DATE
               ---------                           -----                                ----
/s/ Wilfred J. Corrigan         Chairman, Chief Executive Officer and Director    September 14, 2001
------------------------------  (Principal Executive Officer)
    Wilfred J. Corrigan

/s/ Bryon Look                  Executive Vice President, Finance and Chief       September 14, 2001
------------------------------  Financial Officer (Principal Financial Officer)
    Bryon Look

/s/ T.Z. Chu                    Director                                          September 14, 2001
------------------------------
    T.Z. Chu

/s/ Malcolm R. Currie           Director                                          September 14, 2001
------------------------------
    Malcolm R. Currie

/s/ James H. Keyes              Director                                          September 14, 2001
------------------------------
    James H. Keyes

/s/ R. Douglas Norby            Director                                          September 14, 2001
------------------------------
    R. Douglas Norby

/s/ Matthew J. O'Rourke         Director                                          September 14, 2001
------------------------------
    Matthew J. O'Rourke

/s/ Gregorio Reyes              Director                                          September 14, 2001
------------------------------
    Gregorio Reyes

/s/ Larry W. Sonsini            Director                                          September 14, 2001
------------------------------
    Larry W. Sonsini
6
7

                                  EXHIBIT INDEX
Exhibit
Number     Description
-------    -----------
3.1       Restated Certificate of Incorporation.(1)
 4.1       Amended and Restated Preferred Shares Rights Agreement, dated November 20, 1998.(2)
 4.2       LSI Logic Corporation 1999 Nonstatutory Stock Option Plan.(3)
 5.1       Opinion of Counsel as to legality of securities being registered.
23.1       Consent of Independent Accountants.
23.2       Consent of Counsel (contained in Exhibit 5.1 hereto).
24.1       Power of Attorney (see page 6).
--------------------------------------------------------------------------------
(1) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-46436) filed on September 22, 2000
(2) Incorporated by reference to exhibits filed with the Company's Form 8-A12G/A
    filed on December 8, 1998
(3) Incorporated by reference to exhibits filed with the Company's Registration
    Statement on Form S-8 (No. 333-90951) filed on November 15, 1999

                                       7