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 annual  report of Syms Corp (the  "Company") on
Form 10-K for the year ended  February 26, 2005 as filed with the Securities and
Exchange  Commission  on the date hereof (the  "Report"),  I, Marcy Syms,  Chief
Executive Officer of the Company, certify, to the best of my knowledge, pursuant
to 18 U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the  Sarbanes-Oxley Act
of 2002, that:

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




                                                         /s/ Marcy Syms
                                                         Marcy Syms
                                                         Chief Executive Officer
                                                         Syms Corp
                                                         May 23, 2005


A signed  original of this written  statement  required by Section 906, or other
document authenticating, acknowledging, or otherwise adopting the signature that
appears in typed form within the  electronic  version of this written  statement
required by Section 906,  has been  provided to the Company and will be retained
by the Company and furnished to the  Securities  and Exchange  Commission or its
staff upon request.