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|EXHIBIT 32.1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
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|CERTIFICATION OF CHIEF EXECUTIVE OFFICERPURSUANT TO 18 U.S.C. SECTION 1350,AS ADOPTED PURSUANT TOSECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
        In connection with the Quarterly Report of First Real Estate Investment Trust of New Jersey (the Company) on Form 10-Q for the quarter ended April 30, 2005 (the Report), I, Robert S. Hekemian, Chairman of the Board and Chief Executive Officer of the Company, do hereby certify, pursuant to 18 U.S.C.§ 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:
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|(1) | the Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934, 15 U.S.C. § 78m(a) or 78o(d), 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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|Date:  June 9, 2005 | /s/ Robert S. Hekemian                                                    
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|                    | Robert S. Hekemian
      Chairman of the Board and Chief Executive Officer
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|                    | Back To Index                                                             

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