Exhibit 31.1

CERTIFICATION BY CHIEF EXECUTIVE OFFICER
PURSUANT TO SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002

I, Kirk Thompson, certify that:

1.I have reviewed this quarterly report on Form 10-Q of J.B. Hunt Transport Services, Inc. (JBHT);

2.Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report;

3.Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations and cash flows of JBHT as of, and for the periods presented in this report;

4.JBHT’s other certifying officer and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for JBHT and have:

a)Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to JBHT, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared;

b)Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles;

c)Evaluated the effectiveness of JBHT’s disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation; and

d)Disclosed in this report any change in JBHT’s internal control over financial reporting that occurred during JBHT’s most recent calendar quarter that has materially affected, or is reasonably likely to materially affect, JBHT’s internal control over financial reporting; and

5.JBHT’s other certifying officer and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to JBHT’s auditors and the audit committee of JBHT’s board of directors:

a)All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect JBHT’s ability to record, process, summarize and report financial information; and

b)Any fraud, whether or not material, that involves management or other employees who have a significant role in JBHT’s internal control over financial reporting.

Date: April 29, 2005	/s/ Kirk Thompson
	Kirk Thompson
	President and Chief Executive Officer