EXHIBIT 32

                           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 Annual Report of Graham Corporation (the "Company")
on Form 10-K for the fiscal year ended March 31, 2005 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), each of
the undersigned 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.

<Table>
                                            
            /s/ WILLIAM C. JOHNSON                          /s/ J. RONALD HANSEN
- ---------------------------------------------- ----------------------------------------------
              William C. Johnson                              J. Ronald Hansen
    President and Chief Executive Officer                 Chief Financial Officer
                June 15, 2005                                  June 15, 2005
</Table>

     A signed original of this written statement required by Section 906 has
been provided to Graham Corporation and will be retained by Graham Corporation
and furnished to the Securities and Exchange Commission or its staff upon
request.