The 19-year-old Abraham, on loan from Chelsea, volleyed in Leroy Fer's cross on 44 minutes after a tepid first half at Selhurst Park.
Ayew then latched on to a through ball after error-prone defending by Palace before rounding goalkeeper Wayne Hennessey and poking the home on 48 minutes.
The home side sprung to life when French midfielder Yohan Cabaye was brought on in the second half but with few clearcut chances, Palace never really looked like avoiding their third successive loss of the season.
(Reporting by Shrivathsa Sridhar in Bengaluru, editing by Ed Osmond)
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