Exhibit 32.1

            Certification of CEO 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 on Form 10-Q of  Trimble  Navigation
Limited (the  "Company")  for the  quarterly  period ended July 2, 2004 as filed
with the Securities and Exchange  Commission on the date hereof (the  "Report"),
Steven W. Berglund, as Chief Executive Officer of the Company, hereby certifies,
pursuant  to 18  U.S.C.  ss.  1350,  as  adopted  pursuant  to  ss.  906  of the
Sarbanes-Oxley Act of 2002, to the best of his knowledge 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/ Steven W. Berglund
                               ----------------------
                               Name:  Steven W. Berglund
                               Title: Chief Executive Officer
                               Dated: August 6, 2004