Tempur Sealy International (TPX) 10-Q 2005 Q1 Quarterly report

Exhibit 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER AND

CHIEF FINANCIAL OFFICER PURSUANT TO

18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Each of the undersigned hereby certifies, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, in his capacity as an officer of Tempur-Pedic International Inc. (the “Company”), that, to his knowledge, the Quarterly Report of the Company on Form 10-Q for the period ended March 31, 2005, fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)) and that the information contained in such report fairly presents, in all material respects, the financial condition and results of operations of the Company. This written statement is being furnished to the Securities and Exchange Commission as an exhibit to such Form 10-Q. A signed original of this statement has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.

Date: May 9, 2005	By:	/s/    ROBERT B. TRUSSELL, JR.
		Robert B. Trussell Jr.
		Chief Executive Officer
Date: May 9, 2005	By:	/s/    DALE E. WILLIAMS
		Dale E. Williams
		Senior Vice President, Chief Financial Officer, Secretary and Treasurer