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

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| | In
 connection with the annual report of Syms Corp (the Company) on Form 10-K
 for the year ended February 27, 2010 as filed with the Securities and
 Exchange Commission on the date hereof (the Report), I, Marcy Syms,
 Chairman and Chief Executive Officer of the Company, certify, to the best of
 my knowledge, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 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                               
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| |                                                                                                                                                                                                                                                                                                                                                                                                                                 | (2) | The
 information contained in the Report fairly presents, in all material respects,
 the financial condition and results of operations of the Company.

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|/s/ Marcy
 Syms                       | 
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|Marcy Syms                            | 
|Chairman and
 Chief Executive Officer | 
|Syms Corp                             | 
|May 13, 2010                          | 

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