SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                               ------------------

                             FORM 8-K CURRENT REPORT

                     Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934

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                Date of Report (Date of earliest event reported)

                                  May 14, 2003


                            DORCHESTER MINERALS, L.P.
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             (Exact name of registrant as specified in its charter)


        Delaware               000-50175                81-0551518
------------------------ -------------------- --------------------------------
(State of Incorporation) (Commission File No) (IRS Employer Identification No.)



      3738 Oak Lawn, Suite 300, Dallas, Texas                       75219
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     (Address of principal executive offices)                     (Zip Code)


                                 (214) 559-0300
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              (Registrant's telephone number, including area code)


                                       N/A
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          (Former name or former address, if changed since last report)




 
Item 9. Regulation FD Disclosure  (Information  Furnished in this Item 9 is also
     furnished pursuant to Item 12).

     Registrant  is  furnishing  its press  release  dated May 14,  2003,  which
announces the Registrant's first quarter earnings. The text of the press release
is included below.

     This  information  furnished  under  this  Item 9 is  also  intended  to be
furnished  under "Item 12.  Results of Operations  and  Financial  Condition" in
accordance with SEC Release No. 33-8216.


NEWS RELEASE                                           Dorchester Minerals, L.P.
Release Date: May 14, 2003                         3738 Oak Lawn Ave., Suite 300
                                                        Dallas, Texas 75219-4379
Contact: Casey McManemin                                          (214) 559-0300
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            DORCHESTER MINERALS, L.P. ANNOUNCES FIRST QUARTER RESULTS

     DALLAS,  TEXAS -- Dorchester Minerals,  L.P. (the "Partnership")  announced
today the  Partnership's net earnings for the first quarter ended March 31, 2003
("Q1  2003")  of  $3,943,000,  or $0.18 per  common  unit.  This is the  initial
reporting  period for the Partnership  since the combination of the business and
properties of Dorchester  Hugoton,  Ltd., Republic Royalty Company and Spinnaker
Royalty  Company  was  consummated  on January  31,  2003.  In  accordance  with
applicable  accounting  rules,  Dorchester  Hugoton,  Ltd.  was deemed to be the
acquirer of the Republic and  Spinnaker  assets.  Consequently,  Q1 2003 results
reflect  Dorchester  Hugoton's  operations  during January and the Partnership's
operations  during  February  and March,  and the  acquisitions  of Republic and
Spinnaker's  assets are  recorded  at the values  assigned  in  accordance  with
purchase  accounting  rules.  The value  assigned  to these  assets  results  in
depletion  expense for periods  subsequent  to the  combination  that  reflect a
greater  percentage of net operating  revenues  than  experienced  by Dorchester
Hugoton.  Q1 2003 earnings also reflect  severance  payments and other  payments
made by  Dorchester  Hugoton in  connection  with the  combination  transaction.
Accounting  methods  require the first  quarter 2003  Partnership  results to be
compared to the first quarter 2002 Dorchester Hugoton, Ltd. results.

     A comparison of results for the periods ending March 31, 2002 and March 31,
2003 are set forth below:

                                            Three Months            Two Months
                                               Ended                   Ended
                                              March 31,               March 31,
                                      -------------------------     -----------
                                         2003          2002             2003
                                      -----------   -----------     -----------

Net Operating Revenues                $13,956,000   $ 3,700,000     $11,543,000
Depreciation, Depletion, Amortization  (4,971,000)   (4,803,000)       (541,000)
All Other Expenses                     (5,042,000)   (1,342,000)     (1,055,000)
                                      -----------   -----------     -----------
Net Earnings                          $ 3,943,000   $ 1,817,000     $ 5,685,000
                                      ===========   ===========     ===========
Earnings Per Common Unit                    $0.18         $0.17           $0.21
                                            =====         =====           =====

     The Partnership's cash distributions  reflect cash receipts attributable to
its Net  Profits  Interests  and  Royalty  Properties  less  cash  disbursements
attributable to Management Expenses and Direct Expenses.  The Partnership's cash
distributions  are not  comparable  to its net  earnings due to timing and other
differences.

     Dorchester  Minerals,  L.P. is a Dallas area based owner of  producing  and
non-producing  natural  gas and  crude  oil  royalty,  overriding  royalty,  net
profits,  and leasehold interests and its common units trade on the Nasdaq Stock
Market under the symbol DMLP.

FORWARD-LOOKING STATEMENTS

     Portions of this document may  constitute  "forward-looking  statements" as
defined  by  federal  law.  Such   statements  are  subject  to  certain  risks,
uncertainties   and   assumptions.   Should  one  or  more  of  these  risks  or
uncertainties  materialize,  or should  underlying  assumptions prove incorrect,
actual  results  may  vary  materially  from  those  anticipated,  estimated  or
projected.  Examples of such uncertainties and risk factors include, but are not
limited to,  changes in the price or demand for oil and natural gas,  changes in
the  operations on or development of the  Partnership's  properties,  changes in
economic  and  industry  conditions  and  changes  in  regulatory   requirements
(including   changes  in  environmental   requirements)  and  the  Partnership's
financial position,  business strategy and other plans and objectives for future
operations.  These and other factors are set forth in the Partnership's  filings
with the Securities and Exchange Commission.

                                      -30-


                                   SIGNATURES

     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
Registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned, hereunto duly authorized.

                                       DORCHESTER MINERALS, L.P.
                                       Registrant

                                    by Dorchester Minerals Management LP
                                       its General Partner,
                                    by Dorchester Minerals Management GP LLC
                                       its General Partner



Date: May 14, 2003                     /s/ William Casey McManemin
                                       ---------------------------
                                       William Casey McManemin
                                       Chief Executive Officer