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 the Quarterly Report of Gouverneur Bancorp Inc. (the
"Company") on Form 10-QSB for the period ending June 30, 2003 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Richard
F. Bennett, Chief Executive 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:

         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 as of and for the period covered by the Report.

August 8, 2003                         By: /s/ RICHARD F. BENNETT
                                           -------------------------------------
                                           Richard F. Bennett
                                           President and Chief Executive Officer

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