<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000702172
<NAME> GENERAL GOVERNMENT SECURITIES MONEY MARKET FUNDS, INC.
<SERIES>
<NUMBER> 003
<NAME> GENERAL TREASURY PRIME MONEY MARKET FUND-CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-2000
<PERIOD-END> MAY-31-2000
<INVESTMENTS-AT-COST> 648
<INVESTMENTS-AT-VALUE> 648
<RECEIVABLES> 0
<ASSETS-OTHER> 44
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 692
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 91
<TOTAL-LIABILITIES> 91
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 600
<SHARES-COMMON-STOCK> 1
<SHARES-COMMON-PRIOR> 0
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 1
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 13
<OTHER-INCOME> 0
<EXPENSES-NET> 2
<NET-INVESTMENT-INCOME> 11
<REALIZED-GAINS-CURRENT> 0
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 11
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (1)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 41
<NUMBER-OF-SHARES-REDEEMED> (41)
<SHARES-REINVESTED> 1
<NET-CHANGE-IN-ASSETS> 601
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 1
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 50
<AVERAGE-NET-ASSETS> 39
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .024
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.024)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .008
</TABLE>