<ARTICLE>                           5
<CIK>                               0000854062    
<NAME>                              GEODYNE ENERGY INCOME LIMITED PSHIP II-H
                                     
                                 
<PERIOD-TYPE>                       3-MOS
<FISCAL-YEAR-END>                   DEC-31-1999
<PERIOD-START>                      JAN-01-1999
<PERIOD-END>                        MAR-31-1999
<CASH>                                    79,158
<SECURITIES>                                   0
<RECEIVABLES>                             98,059
<ALLOWANCES>                                   0
<INVENTORY>                                    0
<CURRENT-ASSETS>                         177,217
<PP&E>                                 5,705,737
<DEPRECIATION>                         4,700,000
<TOTAL-ASSETS>                         1,206,703
<CURRENT-LIABILITIES>                     14,309
<BONDS>                                        0
<PREFERRED-MANDATORY>                          0
<PREFERRED>                                    0
<COMMON>                                       0
<OTHER-SE>                             1,180,331
<TOTAL-LIABILITY-AND-EQUITY>           1,206,703
<SALES>                                  198,192
<TOTAL-REVENUES>                         199,439
<CGS>                                          0
<TOTAL-COSTS>                            167,518
<OTHER-EXPENSES>                               0
<LOSS-PROVISION>                               0
<INTEREST-EXPENSE>                             0
<INCOME-PRETAX>                           31,921
<INCOME-TAX>                                   0
<INCOME-CONTINUING>                       31,921
<DISCONTINUED>                                 0
<EXTRAORDINARY>                                0
<CHANGES>                                      0
<NET-INCOME>                              31,921
<EPS-PRIMARY>                               0.31
<EPS-DILUTED>                                  0