EXHIBIT 31.1

     Certification  of Chief Executive  Officer,  Pursuant to Section 302 of the
Sarbanes-Oxley Act of 2002

     I, Robert G. Dutcher, certify that:

     1. I have reviewed this annual report of Possis Medical, Inc.;


     2. Based on my knowledge, this report does not contain any untrue statement
of a  material  fact or omit to  state a  material  fact  necessary  to make the
statements made, in light of the circumstances  under which such statements were
made, not misleading with respect to the period covered by this report;


     3. Based on my knowledge,  the financial  statements,  and other  financial
information included in this report, fairly present in all material respects the
financial  condition,  results of operations and cash flows of the registrant as
of, and for, the periods presented in this report;


     4. The registrant's  other certifying  officer(s) and I are responsible for
establishing and maintaining  disclosure  controls and procedures (as defined in
Exchange Act Rules 13a-15(e) and 15d-15(e)) for the registrant and have:

     a.  Designed  such  disclosure  controls  and  procedures,  or caused  such
disclosure  controls and  procedures to be designed  under our  supervision,  to
ensure that  material  information  relating to the  registrant,  including  its
consolidated subsidiaries,  is made known to us by others within those entities,
particularly during the period in which this report is being prepared;

     b. Evaluated the effectiveness of the registrant's  disclosure controls and
procedures and presented in this report our conclusions  about the effectiveness
of the disclosure  controls and procedures,  as of the end of the period covered
by this report based on such evaluation; and

     c. Disclosed in this report any change in the registrant's internal control
over  financial  reporting  that occurred  during the  registrant's  most recent
fiscal quarter (the registrant's  fourth fiscal quarter in the case of an annual
report) that has  materially  affected,  or is  reasonably  likely to materially
affect, the registrant's internal control over financial reporting; and



     5. The registrant's other certifying officer(s) and I have disclosed, based
on our most recent evaluation of internal control over financial  reporting,  to
the registrant's  auditors and the audit committee of the registrant's  board of
directors (or persons performing the equivalent functions):

     a. All significant  deficiencies  and material  weaknesses in the design or
operation of internal  control over  financial  reporting  which are  reasonably
likely  to  adversely  affect  the  registrant's  ability  to  record,  process,
summarize and report financial information; and

     b. Any fraud,  whether or not material,  that involves  management or other
employees who have a significant role in the registrant's  internal control over
financial reporting.








Date: October 29, 2003                               /s/
                                            Signature

                                            Robert G. Dutcher
                                            Chairman, President and
                                            Chief Executive Officer