<ARTICLE> 5
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM MESA
OFFSHORE TRUST FORM 10-Q FOR THE QUARTERLY PERIOD ENDED 6/30/99 AND IS QUALIFIED
IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>

                             
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1999
<PERIOD-END>                               JUN-30-1999
<CASH>                                       3,929,570
<SECURITIES>                                         0
<RECEIVABLES>                                   29,279
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                     0
<PP&E>                                     380,905,000
<DEPRECIATION>                             380,865,839
<TOTAL-ASSETS>                               3,998,010
<CURRENT-LIABILITIES>                        1,958,849
<BONDS>                                              0
<PREFERRED-MANDATORY>                                0
<PREFERRED>                                          0
<COMMON>                                             0
<OTHER-SE>                                   2,039,161
<TOTAL-LIABILITY-AND-EQUITY>                 3,998,010
<SALES>                                      2,288,525
<TOTAL-REVENUES>                             2,336,952
<CGS>                                                0
<TOTAL-COSTS>                                        0
<OTHER-EXPENSES>                               378,103
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                                   0
<INCOME-PRETAX>                              1,958,849
<INCOME-TAX>                                         0
<INCOME-CONTINUING>                          1,958,849
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                 1,958,849
<EPS-BASIC>                                    0.027
<EPS-DILUTED>                                    0.027