EXHIBIT 31.2

                                  Certification

I, Robert J. Twyman, Chief Financial Officer of the Company, certify that:

     1.   I have reviewed this quarterly report on Form 10-QSB of Gouverneur
          Bancorp, Inc.;

     2.   Based on my knowledge, this quarterly report does not contain any
          untrue statement of 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 the report, fairly present in all material
          respects the financial condition, results of operations and cash flows
          of the small business issuer as of, and for, the periods presented in
          this report;

     4.   The small business issuer'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 small business issuer and we 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 small
          business issuer, 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 small business issuer'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 small business issuer's
          internal controls over financial reporting that occurred during the
          small business issuer's second fiscal quarter that has materially
          affected, or is reasonably likely to materially affect, the small
          business issuer's internal control over financial reporting; and

     5.   The small business issuer's other certifying officer(s) and I have
          disclosed, based on our most recent evaluation of internal control
          over financial reporting, to the small business issuer's auditors and
          the audit committee of small business issuer'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 small business issuer'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 small business
          issuer's internal control over financial reporting.


     DATE:  May 12, 2004

     /s/ ROBERT J. TWYMAN
     ----------------------------
     ROBERT J. TWYMAN
     CHIEF FINANCIAL OFFICER

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