EXHIBIT 32.2

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 December 31, 2005 as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I,
Robert J. Twyman, 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:

     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.


February 9, 2006                  By: /s/ ROBERT J. TWYMAN
                                      ------------------------------------------
                                      Robert J. Twyman
                                      Vice President and Chief Financial Officer

                                       25