Whole Foods Market (WFM) 10-K 2004 FY Annual report

Exhibit 32.1

Certification by Chief Executive Officer 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 Annual Report of Whole Foods Market, Inc. (the “Company”) on Form 10-K for the period ending September 26, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, John P. Mackey, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of section 13(a) and 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 result of operations of the Company.

/s/ John P. Mackey

John P. Mackey

Chief Executive Officer

December 9, 2004