EXHIBIT 32.1

                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER
                           PURSUANT TO 18 U.S.C. 1350,
      AS ADOPTED PURSUANT TO SECTION 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 period ended July 31, 2003 (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 section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

     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

     2.   the information contained in the Report fairly presents, in all
          material respects, the financial condition and results of operations
          of the Company.



Dated: September 15, 2003



                                               /s/  Robert S. Hekemian
                                               -----------------------
                                               Robert S. Hekemian
                                               Chairman of the Board and Chief
                                                Executive Officer