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 April 30, 2006 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.



Date: June 9, 2006                   By: /s/ Robert G. Dutcher
                                         ---------------------------------------
                                         ROBERT G. DUTCHER
                                         Chairman, President and Chief Executive
                                         Officer

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