Palace boss Sam Allardyce said his side had exploited Liverpool's frailties and added: "Liverpool, at home, play a superbly attacking style, which means both full-backs will go right up the pitch.
"It means that [Joel] Matip and [Dejan] Lovren are very exposed.
"If you get the right runners in behind then the two big men don't like turning and running back towards their own goal, which is exactly where Yohan Cabaye [who crossed for the first Palace goal] came in today.
"The ball over Lovren's head to Cabaye completely left those two centre-halves for dead and the ball to Christian Benteke was absolutely outstanding.
"On the corners, everybody knows Liverpool are pretty weak. They've conceded six [goals] off corners, which we told the lads about. It's now seven off that corner that's got us the winner."