EXHIBIT 32.1

                           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 A.S.V., Inc. (the "Company") on Form
10-Q for the period ended September 30, 2004 as filed with the Securities and
Exchange Commission (the "Report"), I, Gary Lemke, Chief Executive Officer of
the Company, 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.

                                         /s/ Gary Lemke
                                         ---------------------------------------
                                         Gary Lemke
                                         Chief Executive Officer
                                         November 9, 2004

                                       24