Exhibit 32.1


                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER
                       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 First Real Estate  Investment Trust
of New Jersey (the  "Company")  on Form 10-K for the year ended October 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.ss.  1350, as
adopted  pursuant  to ss.  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.ss.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: January 27, 2004                    By: /s/ Robert S. Hekemian
                                                   -----------------------------
                                                   Robert S. Hekemian,
                                                   Chairman of the Board and
                                                   Chief Executive Officer