<ARTICLE>                          5
<CIK>                              0000854062     
<NAME>                             GEODYNE ENERGY INCOME LTD PARTNERSHIP II-H
                                    
                                
<PERIOD-TYPE>                      9-MOS
<FISCAL-YEAR-END>                  DEC-31-1998
<PERIOD-START>                     JAN-01-1998
<PERIOD-END>                       SEP-30-1998
<CASH>                                   103,052
<SECURITIES>                                   0
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<OTHER-SE>                             1,260,773
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<SALES>                                  549,753
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<CGS>                                          0
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