[ARTICLE] 6
[CIK] 0000874835
[NAME] GREENWICH STREET SERIES FUND
[SERIES]
   [NUMBER] 4
   [NAME] APPRECIATION PORTFOLIO
<TABLE>
<S>                             <C>
[PERIOD-TYPE]                   6-MOS
[FISCAL-YEAR-END]                          DEC-31-1998
[PERIOD-END]                               JUN-30-1998
[INVESTMENTS-AT-COST]                      136,153,403
[INVESTMENTS-AT-VALUE]                     192,748,570
[RECEIVABLES]                                  200,637
[ASSETS-OTHER]                                       0
[OTHER-ITEMS-ASSETS]                                 0
[TOTAL-ASSETS]                             192,949,207
[PAYABLE-FOR-SECURITIES]                             0
[SENIOR-LONG-TERM-DEBT]                              0
[OTHER-ITEMS-LIABILITIES]                      126,829
[TOTAL-LIABILITIES]                            126,829
[SENIOR-EQUITY]                                      0
[PAID-IN-CAPITAL-COMMON]                   129,820,085
[SHARES-COMMON-STOCK]                        9,588,452
[SHARES-COMMON-PRIOR]                        7,693,323
[ACCUMULATED-NII-CURRENT]                    1,153,092
[OVERDISTRIBUTION-NII]                               0
[ACCUMULATED-NET-GAINS]                      5,254,034
[OVERDISTRIBUTION-GAINS]                             0
[ACCUM-APPREC-OR-DEPREC]                    56,595,167
[NET-ASSETS]                               192,822,378
[DIVIDEND-INCOME]                            1,057,303
[INTEREST-INCOME]                              796,726
[OTHER-INCOME]                                       0
[EXPENSES-NET]                                 660,789
[NET-INVESTMENT-INCOME]                      1,193,240
[REALIZED-GAINS-CURRENT]                     5,215,768
[APPREC-INCREASE-CURRENT]                   13,382,220
[NET-CHANGE-FROM-OPS]                       19,791,228
[EQUALIZATION]                                       0
[DISTRIBUTIONS-OF-INCOME]                    2,031,508
[DISTRIBUTIONS-OF-GAINS]                     7,186,525
[DISTRIBUTIONS-OTHER]                                0
[NUMBER-OF-SHARES-SOLD]                      2,242,002
[NUMBER-OF-SHARES-REDEEMED]                    806,168
[SHARES-REINVESTED]                            459,295
[NET-CHANGE-IN-ASSETS]                      48,688,354
[ACCUMULATED-NII-PRIOR]                      2,029,288
[ACCUMULATED-GAINS-PRIOR]                    7,186,862
[OVERDISTRIB-NII-PRIOR]                              0
[OVERDIST-NET-GAINS-PRIOR]                           0
[GROSS-ADVISORY-FEES]                          461,409
[INTEREST-EXPENSE]                                   0
[GROSS-EXPENSE]                                660,789
[AVERAGE-NET-ASSETS]                       142,580,047
[PER-SHARE-NAV-BEGIN]                            18.73
[PER-SHARE-NII]                                  00.09
[PER-SHARE-GAIN-APPREC]                          02.30
[PER-SHARE-DIVIDEND]                                 0
[PER-SHARE-DISTRIBUTIONS]                        01.01
[RETURNS-OF-CAPITAL]                                 0
[PER-SHARE-NAV-END]                              20.11
[EXPENSE-RATIO]                                  00.79
[AVG-DEBT-OUTSTANDING]                               0
[AVG-DEBT-PER-SHARE]                                 0
</TABLE>