UNITED STATES
                       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

            Date of Report (Date of earliest event reported):   May 2, 2006
                                                              --------------



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



          Delaware                       000-50175              81-0551518
      -----------------                  ---------              ----------
(State or other jurisdiction of         Commission            (I.R.S. Employer
 incorporation or organization)         File Number          Identification No.)




        3838 Oak Lawn, Suite 300                                    75219
              Dallas, Texas                                         -----
        ------------------------                                 (Zip Code)
(Address of principal executive offices)


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

                                       N/A
                  ---------------------------------------------
              (Former name, former address and former fiscal year,
                          if changed since last report)


Check the appropriate box below if the Form 8-K filing is intended to
simultaneously satisfy the filing obligation of the registrant under any of the
following provisions (See General Instruction A.2. below):

[] Written communications pursuant to Rule 425 under the Securities Act
   (17 CFR 230.425)

[ ] Soliciting material pursuant to Rule 14a-12 under the Exchange Act
    (17 CFR 240.14a-12)

[ ] Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange
    Act (17 CFR 240.14d-2(b))

[ ] Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange
    Act (17 CFR 240.13e-4(c))







Item 2.02       Results of Operations and Financial Condition

                The Registrant is furnishing its press release dated
                May 2, 2006 which announces the Registrant's results for the
                quarter ended March 31, 2006.  A copy of the press release is
                attached hereto as Exhibit 99.1 to this Form 8-K and
                incorporated herein by reference.

                In accordance with general instructions B.2 and B.6 of Form 8-K,
                the information disclosed in this report under Item 2.02,
                including Exhibit 99.1, is being furnished and shall not be
                deemed "filed" for the purposes of Section 18 of the Securities
                Exchange Act of 1934, as amended, or otherwise subject to the
                liability of that section, and shall not be deemed incorporated
                by reference into any filing under the Securities Act of 1933,
                as amended.

Item 7.01       Regulation FD Disclosure

                On May 2, 2006, the Registrant issued a press release
                announcing the Registrant's results for the quarter ended
                March 31, 2006.  A copy of the press release is attached
                as Exhibit 99.1 to this Form 8-K.

                In accordance with general instructions B.2 and B.6 of Form 8-K,
                the information disclosed in this report under Item 7.01,
                including Exhibit 99.1, is being furnished and shall not be
                deemed "filed" for the purposes of Section 18 of the Securities
                Exchange Act of 1934, as amended, or otherwise subject to the
                liability of that section, and shall not be deemed incorporated
                by reference into any filing under the Securities Act of 1933,
                as amended.

Item 8.01       Other

                On March 30, 2006, the registrant entered into an agreement to
                lease certain of the Registrant's mineral interests in Arkansas.
                The disclosure provided in the copy of the press release
                attached as Exhibit 99.1 with respect to the leasing transaction
                is hereby incorporated by reference into this Item 8.01 with
                respect to such leasing transaction.

Item 9.01       Financial Statements and Exhibits

                (c)     Exhibits
                        --------

                99.1    Press Release dated May 2, 2006 announcing the
                        Registrant's 2006 first quarter results.





                                    SIGNATURE

         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, thereunto 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 2, 2006
                               By: /s/ William Casey McManemin
                                  -----------------------------
                                       William Casey McManemin
                                       Chief Executive Officer







                                 EXHIBIT INDEX
                                 -------------



        99.1            Press Release dated May 2, 2006.
Exhibit 99.1

NEWS RELEASE
                                                       Dorchester Minerals, L.P.
Release Date: May 2, 2006                          3838 Oak Lawn Ave., Suite 300
                                                        Dallas, Texas 75219-4541
Contact:  Casey McManemin                               Telephone (214) 559-0300

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


            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, 2006 of $13,060,000, or $0.45 per common unit.

         A comparison of results for the periods ending March 31, 2006 and
March 31, 2005 are set forth below:


                                            Three Months Ended
                                                 March 31,
                                     ------------------------------
                                     -------------    -------------
                                          2006            2005
                                     -------------    -------------
Operating Revenues                   $  19,267,000    $  14,397,000
Depletion and Amortization              (4,708,000)      (5,137,000)
All Other Expenses, Net                 (1,499,000)      (1,384,000)
                                     -------------    -------------
Net Earnings                         $  13,060,000    $   7,876,000
                                     =============    =============
Net Earnings Per Common Unit                 $0.45            $0.27

        The Partnership previously declared its first quarter distribution in
the amount of $0.729852 per common unit payable on May 11, 2006 to common unit
holders of record as of May 1, 2006. The Partnership's cash distributions are
not comparable to its net earnings due to timing and other differences including
depletion.

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

ARKANSAS LEASE TRANSACTION

         On March 30, 2006 we entered into an agreement with a large independent
oil and gas exploration company pursuant to which we will grant leases on our
interest in 9,800 net mineral acres for terms including lease bonus of $625 per
acre, one-quarter royalty and optional working interest participation in certain
circumstances. We received a non-refundable lease bonus down payment in the
amount of $616,062.50 on March 29, 2006. The agreement provides for payment of
the remaining bonus consideration, estimated to be approximately $5,500,000, on
or before June 29, 2006. Payment of the remaining lease bonus is contingent upon
conditions customarily found in transactions of this type including confirmation
of our title to the properties.

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.