EXHIBIT 32.1



                         HALLWOOD REALTY PARTNERS, L.P.

     CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


In connection with the filing of the quarterly report on Form 10-Q for the
quarter ended June 30, 2003 (the "Report") by Hallwood Realty Partners, L.P.
("Registrant"), each of the undersigned hereby certifies that to their
knowledge:

1.       The Report fully complies with the requirements of Section 13(a) of
         15(d) of the Securities Exchange Act of 1934, as amended, and

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


                                                     /s/ Anthony J. Gumbiner
                                                     ---------------------------
                                                     Anthony J. Gumbiner
                                                     Chief Executive Officer


                                                     /s/ Jeffrey D. Gent
                                                     ---------------------------
                                                     Jeffrey D. Gent
                                                     Vice President - Finance
                                                     (Principal Financial and
                                                     Accounting Officer)