The manager has urged his side to start believing in themselves after another big performance against one of the so-called big sides.
The Eagles ran out 2-1 winners at Anfield on Sunday, with goals from Yannick Bolasie and Scott Dann seeing them to yet another victory on Merseyside.
The win was more than deserved for Palace though as they put on a display of attacking football against Jurgen Klopp’s side, and Pardew says he feels they were rewarded for being ambitious and looking to secure all three points from the game.
“Our ambition was rewarded with that late goal,” he told cpfc.co.uk.
“We made the decision to take the game to Liverpool and got ourselves the first goal. At half-time, I thought we could win the game. That was the message and my players delivered."
The result against Liverpool was another positive one for Palace against the so called big sides this season, with them having put in big performances against both Manchester United and Chelsea already this season.
They took four points from those two games, but were unfortunate not to beat United after dominating the game, while they were also unfortunate to lose to Manchester City when Manuel Pellegrini’s side score a late winner.
And Pardew says they must start believing in themselves more as a side to capitilise on what has been a good start for them.
“We went toe-to-toe against Manchester United and got a draw, we went toe-to-toe with Liverpool and got the win,” he added.
Sometimes it is about our own belief. We have been unlucky in the last few games and the problem with this team is it doesn't trust how good it can be. We have started really well this year. We need to make sure we capitalise on that.”