SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                    Form 8-K

                Current Report Pursuant to Section 13 or 15(d) of
                       The Securities Exchange Act of 1934

         Date of Report (Date of earliest event reported): May 12, 2004



                               THERMOGENESIS CORP.
             (Exact name of registrant as specified in its charter)



            Delaware                    0-16375             94-3018487
            ---------                   -------             ----------
(State or other jurisdiction of       (Commission         (I.R.S. Employer
 incorporation or organization)       File Number)       Identification No.)

                                2711 Citrus Road
                        Rancho Cordova, California 95742
                                 (916) 858-5100
                                 --------------
          (Address and telephone number of principal executive offices)




<PAGE>


Item 7.    Financial Statements and Exhibits.

           Exhibit No.           Exhibit Description
           -----------           -------------------
              99.1               Press release announcing third quarter results

Item 12.   Results of Operations and Financial Condition.

     ThermoGenesis Corp. announced its results for the third quarter ended March
31, 2004, on a press release, furnished as Exhibit 99.1.


<PAGE>



                                    SIGNATURE

     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned hereunto duly authorized.


                                    THERMOGENESIS CORP.,
                                    a Delaware corporation



Dated:  May 18, 2004                /s/ Renee M. Ruecker
                                    --------------------------------------------
                                    Renee M. Ruecker,
                                    Chief Financial Officer
                                    (Principal Financial and Accounting Officer)
[{"type": "8-K", "sequence": "1", "filename": "form8k.txt", "secsgml_size_bytes": 2183}]
{"company-data": {"conformed-name": "THERMOGENESIS CORP", "cik": "0000811212", "assigned-sic": "3821", "irs-number": "943018487", "state-of-incorporation": "DE", "fiscal-year-end": "0630"}, "filing-values": {"form-type": "8-K", "act": "34", "file-number": "333-82900", "film-number": "04818296"}, "business-address": {"street1": "2711 CITRUS ROAD", "city": "RANCHO CORDOVA", "state": "CA", "zip": "95742", "phone": "9168585100"}, "mail-address": {"street1": "2711 CITRUS ROAD", "city": "RANCHO CORDOVA", "state": "CA", "zip": "95742"}, "former-company": {"former-conformed-name": "INSTA COOL INC OF NORTH AMERICA", "date-changed": "19920703"}}
SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                    Form 8-K

                Current Report Pursuant to Section 13 or 15(d) of
                       The Securities Exchange Act of 1934

         Date of Report (Date of earliest event reported): May 12, 2004

                               THERMOGENESIS CORP.
             (Exact name of registrant as specified in its charter)

            Delaware                    0-16375             94-3018487
            ---------                   -------             ----------
(State or other jurisdiction of       (Commission         (I.R.S. Employer
 incorporation or organization)       File Number)       Identification No.)

                                2711 Citrus Road
                        Rancho Cordova, California 95742
                                 (916) 858-5100
                                 --------------
          (Address and telephone number of principal executive offices)
Item 7.    Financial Statements and Exhibits.

           Exhibit No.           Exhibit Description
           -----------           -------------------
              99.1               Press release announcing third quarter results

Item 12.   Results of Operations and Financial Condition.

     ThermoGenesis Corp. announced its results for the third quarter ended March
31, 2004, on a press release, furnished as Exhibit 99.1.
SIGNATURE

     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned hereunto duly authorized.

                                    THERMOGENESIS CORP.,
                                    a Delaware corporation

Dated:  May 18, 2004                /s/ Renee M. Ruecker
                                    --------------------------------------------
                                    Renee M. Ruecker,
                                    Chief Financial Officer
                                    (Principal Financial and Accounting Officer)