EXHIBIT 32-A

    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 True Value Company (the "Company") on
Form 10-Q for the quarter ended July 2, 2005, as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), each of the undersigned
officers of the Company certifies, pursuant to 18 U.S.C. Section 1350, as
adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to such
officer's knowledge:

      (1)   The Report fully complies with the requirements of Section 13(a) or
            Section 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 the dates and for the periods expressed in the
            Report.

Date: August 4, 2005

/s/ Lyle G. Heidemann
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Lyle G. Heidemann
President and Chief Executive Officer


/s/ David A. Shadduck
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David A. Shadduck
Senior Vice President and
Chief Financial Officer

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