EXHIBIT 32.1

                 SECTION 1350 CERTIFICATION OF CHIEF EXECUTIVE OFFICER


In  connection with the Quarterly Report of P.A.M. Transportation Services, Inc.
(the  "Company")  on  Form  10-Q  for  the  period  ending  March 31, 2004, (the
"Report")  filed  with  the  Securities  and  Exchange  Commission, I, Robert W.
Weaver,  President and 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 to the best of my knowledge:

(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.


Date:  May 6, 2004

                                   By:  /s/ Robert W. Weaver
                                   -------------------------------------
                                   Robert W. Weaver
                                   President and Chief Executive Officer
                                   (chief executive officer)