EXHIBIT 32.1

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 this quarterly  report of Possis  Medical,  Inc. on Form 10-Q
for the period ended January 31, 2005 as filed with the  Securities and Exchange
Commission  on the date  hereof  ("the  Report"),  I, Robert G.  Dutcher,  Chief
Executive  Officer  of Possis  Medical,  Inc.,  certify,  pursuant  to 18 U.S.C.
Section 1350, as adopted  pursuant to Section 906 of the  Sarbanes-Oxley  Act of
2002, that:

     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 this Report  fairly  presents,  in all
          material respects,  the financial  condition and results of operations
          of Possis Medical, Inc.




March 4, 2005                                        /s/ Robert G. Dutcher
                                                     ---------------------------
                                                         Robert G. Dutcher
                                                         Chairman, President and
                                                         Chief Executive Officer


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