<ARTICLE> 5
<LEGEND>
THIS  SCHEDULE  CONTAINS  SUMMARY  FINANCIAL   INFORMATION  EXTRACTED  FROM  THE
FINANCIAL STATEMENTS OF REALMARK PROPERTY INVESTORS LIMITED PARTNERSHIP VI-B FOR
THE QUARTER ENDED MARCH 31, 1996,  AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<MULTIPLIER> 1

                             
<PERIOD-TYPE>                   3-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               MAR-31-1996
<CASH>                                         642,514                             
<SECURITIES>                                         0                                   
<RECEIVABLES>                                  839,641                       
<ALLOWANCES>                                         0                                   
<INVENTORY>                                          0                                         
<CURRENT-ASSETS>                             2,211,108                           
<PP&E>                                       6,983,246                  
<DEPRECIATION>                               1,169,660                                  
<TOTAL-ASSETS>                               8,024,694                                
<CURRENT-LIABILITIES>                          400,604                     
<BONDS>                                      4,257,118                   
<COMMON>                                             0                                         
<PREFERRED-MANDATORY>                                0                                                 
<PREFERRED>                                          0                                         
<OTHER-SE>                                           0                                         
<TOTAL-LIABILITY-AND-EQUITY>                 8,024,694                                
<SALES>                                              0                                                 
<TOTAL-REVENUES>                               425,080                                   
<CGS>                                                0                                         
<TOTAL-COSTS>                                  490,554                     
<OTHER-EXPENSES>                                 5,761                                
<LOSS-PROVISION>                                     0                                         
<INTEREST-EXPENSE>                             108,550                       
<INCOME-PRETAX>                                (71,235)                                   
<INCOME-TAX>                                         0                                   
<INCOME-CONTINUING>                                  0                                   
<DISCONTINUED>                                       0                                                 
<EXTRAORDINARY>                                      0                                                 
<CHANGES>                                            0                                         
<NET-INCOME>                                   (71,225)                     
<EPS-PRIMARY>                                     (.88)                            
<EPS-DILUTED>                                        0