<ARTICLE> 5
<LEGEND>
THE SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM BOTH
THE DECEMBER 31, 1998 BALANCE SHEET AND STATEMENT OF INCOME AND EXPENSES
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000745061
<NAME> AMRECORP REALTY FUND II
       
                             
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               DEC-31-1998
<CASH>                                         217,493
<SECURITIES>                                         0
<RECEIVABLES>                                        0
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                     0
<PP&E>                                       5,171,032
<DEPRECIATION>                               2,730,495
<TOTAL-ASSETS>                               2,886,553
<CURRENT-LIABILITIES>                                0
<BONDS>                                      2,362,879
<PREFERRED-MANDATORY>                                0
<PREFERRED>                                          0
<COMMON>                                             0
<OTHER-SE>                                     365,900
<TOTAL-LIABILITY-AND-EQUITY>                 2,886,533
<SALES>                                              0
<TOTAL-REVENUES>                               769,356
<CGS>                                                0
<TOTAL-COSTS>                                        0
<OTHER-EXPENSES>                               556,610
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                             221,831
<INCOME-PRETAX>                                      0
<INCOME-TAX>                                         0
<INCOME-CONTINUING>                                  0
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                    31,807
<EPS-PRIMARY>                                     2.17
<EPS-DILUTED>                                        0