J.B. Hunt Transport Services (JBHT) 10-Q 2005 Q2 Quarterly report

Exhibit 32.1

CERTIFICATION BY CHIEF EXECUTIVE OFFICER

PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of J.B. Hunt Transport Services, Inc. (the “Corporation”) on Form 10-Q for the quarterly period ended June 30, 2005 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Kirk Thompson, President and Chief Executive Officer of the Corporation, certify to my knowledge, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S. C. Section 1350) 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 Corporation.

Date: July 22, 2005	/s/ Kirk Thompson
	Kirk Thompson
	President and Chief Executive Officer