EXHIBIT 31.1
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         CERTIFICATION PURSUANT TO SECURITIES EXCHANGE ACT RULE 13A-14

     I, J.F. Hughes, Chairman of the Board, Chief Executive Officer and
Director, certify that:

     1. I have reviewed this Annual Report on Form 10-K of TSR, Inc.;

     2. Based on my knowledge, this Annual 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 Annual
Report;

     3. Based on my knowledge, the financial statements, and other financial
information included in this Annual 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 Annual Report;

     4. The registrant's other certifying officers and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined in
Exchange Act Rules 13a-14 and 15d-14) for the registrant 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
          registrant, including its consolidated subsidiaries, is made known to
          us by others within those entities, particularly during the period in
          which this Annual Report is being prepared;

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

     c.   disclosed in this Annual Report any change in registrants disclosure
          controls that occurred during the registrant's fourth fiscal quarter
          that materially affected, or is reasonably likely to materially
          affect, the registrant's internal controls; and

     5. The registrant's other certifying officers and I have disclosed, based
on our most recent evaluation, to the registrant's auditors and the audit
committee of registrant's board of directors (or persons performing the
equivalent function):

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

     b.   any fraud, whether or not material, that involves management or other
          employees who have a significant role in the registrant's internal
          controls.

Date:  August 19, 2004

/s/ J.F. Hughes
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Chairman of the Board,
Chief Executive Officer
and Director

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