EXHIBIT 32

                           SECTION 1350 CERTIFICATION*

         In connection with the Annual Report of Abercrombie & Fitch Co. (the
"Corporation") on Form 10-K for the fiscal year ended January 31, 2004, as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
the undersigned Michael S. Jeffries, Chairman and Chief Executive Officer of the
Corporation, and Susan J. Riley, Senior Vice President-Chief Financial Officer
of the Corporation, certify, pursuant to Section 1350 of Chapter 63 of Title 18
of the United States Code, as adopted pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002, that, to the best of their knowledge:

         (1)      The Report fully complies with the requirements of Section
                  13(a) 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 results of
                  operations of the Corporation.

/s/ Michael S. Jeffries                              /s/ Susan J. Riley
- ------------------------------------                 ---------------------------
Michael S. Jeffries                                  Susan J. Riley
Chairman and Chief Executive Officer                 Senior Vice President-Chief
                                                     Financial Officer

Dated: April 14, 2004                                Dated: April 14, 2004

*    This certification is being furnished as required by Rule 13a-14(b) under
     the Securities Exchange Act of 1934, as amended (the "Exchange Act"), and
     Section 1350 of Chapter 63 of Title 18 of the United States Code, and shall
     not be deemed "filed" for purposes of Section 18 of the Exchange Act or
     otherwise subject to the liability of that Section. This certification
     shall not be deemed to be incorporated by reference into any filing under
     the Securities Act of 1933 or the Exchange Act, except as otherwise stated
     in such filing.