Exhibit 32.1

CERTIFICATION 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 of Covenant Transport, Inc. (the "Company") on Form 10-Q for the period ended September 30, 2005, as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, David R. Parker, 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:  November 8, 2005	By:	/s/ David R. Parker
		David R. Parker
		Chief Executive Officer

A signed original of this written statement required by Section 906 has been provided to Covenant Transport, Inc. and will be retained by Covenant Transport, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.