EXHIBIT 31.1

                     RULE 13a-14(a)/15d-14(a) CERTIFICATION
                          (PRINCIPAL EXECUTIVE OFFICER)

I, Michael S. Jeffries, certify that:

            1.    I have reviewed this Quarterly Report on Form 10-Q/A of
                  Abercrombie & Fitch Co. for the quarterly period ended May 1,
                  2004;

            2.    Based on my knowledge, this report does not contain any untrue
                  statement of a material fact or omit to state a material fact
                  necessary to make the statements made, in light of the
                  circumstances under which such statements were made, not
                  misleading with respect to the period covered by this report;

            3.    Based on my knowledge, the financial statements, and other
                  financial information included in this report, fairly present
                  in all material respects the financial condition, results of
                  operations and cash flows of the registrant as of, and for,
                  the periods presented in this report;

            4.    The registrant's other certifying officer and I are
                  responsible for establishing and maintaining disclosure
                  controls and procedures (as defined in Exchange Act Rules
                  13a-15(e) and 15d-15(e) and internal control over financial
                  reporting (as defined in Exchange Act Rules 13a-15(f) and
                  15d-15(f)) for the registrant and have:

                  a.    Designed such disclosure controls and procedures, or
                        caused such disclosure controls and procedures to be
                        designed under our supervision, to ensure that material
                        information relating to the registrant, including its
                        consolidated subsidiaries, is made known to us by others
                        within those entities, particularly during the period in
                        which this report is being prepared;

                  b.    Designed such internal control over financial reporting,
                        or caused such internal control over financial reporting
                        to be designed under our supervision, to provide
                        reasonable assurance regarding the reliability of
                        financial reporting and the preparation of financial
                        statements for external reporting purposes in accordance
                        with generally accepted accounting principles;

                  c.    Evaluated the effectiveness of the registrant's
                        disclosure controls and procedures and presented in this
                        report our conclusions about the effectiveness of the
                        disclosure controls and procedures, as of the end of the
                        period covered by this report based on such evaluation;
                        and

                  d.    Disclosed in this report any change in the registrant's
                        internal control over financial reporting that has
                        occurred during the registrant's most recent fiscal
                        quarter that has materially affected, or is reasonably
                        likely to materially affect, the registrant's internal
                        control over financial reporting; and

            5.    The registrant's other certifying officer and I have
                  disclosed, based on our most recent evaluation of internal
                  control over financial reporting, to the registrant's auditors
                  and the audit committee of the registrant's board of directors
                  (or persons performing the equivalent functions):

                  a.    All significant deficiencies and material weaknesses in
                        the design or operation of internal control over
                        financial reporting which are reasonably likely to
                        adversely affect the registrant's ability to record,
                        process, summarize and report financial information; and

                  b.    Any fraud, whether or not material, that involves
                        management or other employees who have a significant
                        role in the registrant's internal control over financial
                        reporting.

Dated:  April 11, 2005                  By: /s/ Michael S. Jeffries
                                            --------------------------------
                                            Michael S. Jeffries
                                            Chairman and Chief Executive Officer
                                            (Principal Executive Officer)