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                                                                   EXHIBIT 32.01

                    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

      The undersigned, John C. Goff, the Chief Executive Officer of Crescent
      Real Estate Equities Ltd., the general partner of Crescent Real Estate
      Equities Limited Partnership, and the Chief Executive Officer of Crescent
      Finance Company, has executed this certification in connection with the
      filing with the Securities and Exchange Commission of the registrants'
      Annual Report on Form 10-K for the period ended December 31, 2004 (the
      "Report"). The undersigned hereby certifies that:

            (1)   the Report fully complies with the requirements of Section
      13(a) or 15(d) of the Securities Exchange Act of 1934; and

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

      Date: March 24, 2005               /s/ John C. Goff
                                         ----------------------------
                                         John C. Goff
                                         Chief Executive Officer

A signed original of this written statement required by Section 906 has been
      provided to Crescent Real Estate Equities Limited Partnership and Crescent
      Finance Company and will be retained by Crescent Real Estate Equities
      Limited Partnership and Crescent Finance Company and furnished to the
      Securities and Exchange Commission or its staff upon request.

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                                                                   EXHIBIT 32.01

                    CERTIFICATION OF CHIEF FINANCIAL OFFICER

      PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906
                        OF THE SARBANES-OXLEY ACT OF 2002

      The undersigned, Jerry R. Crenshaw, Jr., the Chief Financial Officer of
      Crescent Real Estate Equities Ltd., the general partner of Crescent Real
      Estate Equities Limited Partnership, and the Chief Financial Officer of
      Crescent Finance Company, has executed this certification in connection
      with the filing with the Securities and Exchange Commission of the
      registrants' Annual Report on Form 10-K for the period ended December 31,
      2004 (the "Report"). The undersigned hereby certifies that:

            (1)   the Report fully complies with the requirements of Section
      13(a) or 15(d) of the Securities Exchange Act of 1934; and

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

Date: March 24, 2005                     /s/ Jerry R. Crenshaw,  Jr.
                                         -----------------------------
                                         Jerry R. Crenshaw, Jr.
                                         Chief Financial Officer

A signed original of this written statement required by Section 906 has been
      provided to Crescent Real Estate Equities Limited Partnership and Crescent
      Finance Company and will be retained by Crescent Real Estate Equities
      Limited Partnership and Crescent Finance Company and furnished to the
      Securities and Exchange Commission or its staff upon request.