The Home Depot, Inc. (HD) 10-Q 2012 Q3 Quarterly report

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 The Home Depot, Inc. (the “Company”) on Form 10-Q (“Form 10-Q”) for the period ended October 28, 2012 as filed with the Securities and Exchange Commission, I, Francis S. Blake, Chairman and 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 my knowledge:

(1) The Form 10-Q 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 Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ Francis S. Blake

Francis S. Blake

Chairman and Chief Executive Officer

November 20, 2012