Exhibit 32.1


                                CERTIFICATION PURSUANT TO
                       SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
                                 (18 U.S.C. SECTION 1350)


     In connection with the accompanying Quarterly Report of Dorchester
Minerals, L.P., (the "Partnership") on Form 10-Q for the period ended September
30, 2004 (the "Report"), I, William Casey McManemin, Chief Executive Officer of
Dorchester Minerals Management GP LLC, General Partner of Dorchester Minerals
Management LP, General Partner of the Partnership, hereby certify that:

     (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 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.



                                              /s/ William Casey McManemin
                                             -----------------------------------
                                                  William Casey McManemin
         Date:  November 5, 2004                  Chief Executive Officer