Exhibit 32.1

CERTIFICATION PURSUANT TO
SECTION 1350, CHAPTER 63 OF TITLE 18, UNITED STATES CODE,
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Pursuant to Section 1350, Chapter 63 of Title 18, United States Code, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned, as Chief Executive Officer of The TJX Companies, Inc. (the “Company”), does hereby certify that to my knowledge:

1.	the Company’s Form 10-K for the fiscal year ended January 30, 2010 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 Company’s Form 10-K for the fiscal year ended January 30, 2010 fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ Carol Meyrowitz
Name:	Carol Meyrowitz
Title:	President and Chief Executive Officer

Dated: March 30, 2010