Exhibit 32

                            CERTIFICATION PURSUANT TO
                 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the quarterly report of  ThermoGenesis  Corp. (the "Company")
on Form  10-Q for the  period  ended  September  30,  2004,  as  filed  with the
Securities and Exchange Commission on the date hereof (the "Report"), we, Philip
H.  Coelho,  Chief  Executive  Officer  and Renee M.  Ruecker,  Chief  Financial
Officer, of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted
pursuant to Section 906 of the  Sarbanes-Oxley Act of 2002, that, to the best of
our knowledge and belief:

          (1) the Report fully complies with the  requirements  of Section 13(a)
     or 15(d) of the Securities Exchange Act of 1934; and

          (2) the information  contained in the Report fairly  presents,  in all
     material respects, the financial condition and results of operations of the
     Company.


Dated: November 8, 2004             /s/ Philip H. Coelho
                                    --------------------------------------------
                                    Philip H. Coelho,
                                    Chief Executive Officer
                                    (Principal Executive Officer)


                                    /s/ Renee M. Ruecker
                                    --------------------------------------------
                                    Renee M. Ruecker,
                                    Chief Financial Officer
                                    (Principal Financial and Accounting Officer)