Exhibit 32.1

                                  CERTIFICATION

I, Albert P.L. Stroucken, certify that this annual report on Form 10-K of H.B.
Fuller Company

     (a)  fully complies with the requirements of section 13(a) or 15(d) of the
          Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)), and

     (b)  that information contained in the periodic report fairly presents, in
          all material respects, the financial condition and results of
          operations of H.B. Fuller Company.

Date: February 25, 2004


/s/ Albert P.L. Stroucken
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Albert P.L. Stroucken
Chairman, President and
Chief Executive Officer