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,  2003  (the  "Report),  I, H.C.  Allen,  Jr.,  Chief  Financial  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/ H.C. Allen, Jr.
                                             -----------------------------------
                                                  H.C. Allen, Jr.
         Date:  November 7,  2003                 Chief Financial Officer