Exhibit 32.1 CERTIFICATE OF THE CHIEF EXECUTIVE OFFICER OF TOWER AUTOMOTIVE, INC. I, Kathleen Ligocki, President and Chief Executive Officer of Tower Automotive, Inc., hereby certify pursuant to Rule 15d-14 (b) of the Securities Exchange Act of 1934, as amended, and Section 1350 of Chapter 63 of title 18 of the United States Code that to the best of my knowledge and belief: (1) The quarterly report on Form 10-Q for the quarterly period ended March 31, 2004, to which this statement is filed as an exhibit, fully complies with requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 and; (2) The information contained in this quarterly report on Form 10-Q for the quarterly period ended March 31, 2004 fairly presents, in all material respects, the financial condition and results of operations of Tower Automotive, Inc. TOWER AUTOMOTIVE, INC. Date: May 10, 2004 By: /s/ Kathleen Ligocki ----------------------------------- Kathleen Ligocki President and Chief Executive Officer