<ARTICLE> 5
<LEGEND>
This schedule contains summary financial information extracted from Century
Pension Income Fund XXIV 1996 Year-End 10-K and is qualified in its entirety by
reference to such 10-K filing.
</LEGEND>
<CIK> 0000780590
<NAME> CENTURY PENSION INCOME FUND XXIV
<MULTIPLIER> 1,000
       
                             
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-END>                               DEC-31-1996
<CASH>                                           1,929
<SECURITIES>                                         0
<RECEIVABLES>                                        0
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                     0<F1>
<PP&E>                                          17,776
<DEPRECIATION>                                 (3,704)
<TOTAL-ASSETS>                                  24,333
<CURRENT-LIABILITIES>                                0<F1>
<BONDS>                                              0
<PREFERRED-MANDATORY>                                0
<PREFERRED>                                          0
<COMMON>                                             0
<OTHER-SE>                                      24,193
<TOTAL-LIABILITY-AND-EQUITY>                    24,333
<SALES>                                              0
<TOTAL-REVENUES>                                 2,250
<CGS>                                                0
<TOTAL-COSTS>                                    1,687
<OTHER-EXPENSES>                                     0
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                                   0
<INCOME-PRETAX>                                      0
<INCOME-TAX>                                         0
<INCOME-CONTINUING>                                  0
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                       986
<EPS-PRIMARY>                                    13.30<F2>
<EPS-DILUTED>                                        0
<FN>
<F1>Registrant has an unclassified balance sheet.
<F2>Multiplier is 1.
</FN>