EXHIBIT 32.2

                            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
Senior Executive Vice President and Chief Financial Officer of The TJX
Companies, Inc. (the "Company"), does hereby certify that to my knowledge:

1.       the Company's Annual Report on Form 10-K for the fiscal year ended
         January 31, 2004, 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 Annual Report on Form 10-K
         for the fiscal year ended January 31, 2004 fairly presents, in all
         material respects, the financial condition and results of operations of
         the Company.

                                    /s/ Jeffrey G. Naylor
                                    --------------------------------------------
                                    Name:  Jeffrey G. Naylor
                                    Title: Senior Executive Vice President and
                                           Chief Financial Officer


Dated: March 31, 2004