Jordan Beyer’s first-half mistake on his return from injury proved costly as Jeffrey Schlupp handed Roy Hodgson’s side the lead, before Tyrick Mitchell’s late second.
The Clarets were in control of proceedings in the most part, producing 17 shots on goal, but were unable to convert that pressure into goals.
Here’s how Burnley’s players rated:

. James Trafford - 6/10
Nothing he could have done about either goal. Didn’t have a lot to do, but was crumpled by a crunching challenge. Photo: Nathan Stirk

. Vitinho - 7/10
Desperately tried to scramble back to deny Schlupp for Palace’s opener, but it was all in vain. Contributed well in attack. Photo: Nathan Stirk

. Jordan Beyer - 5/10
It was his error on his return from injury that led to Palace’s goal, outmuscled by Jordan Ayew before slipping. Photo: George Wood

. Dara O'Shea - 6/10
Clearance for Palace’s second wasn’t the best but he defended well in the main and helped set up attacks from deep. Photo: Nathan Stirk

. Charlie Taylor - 7/10
Produced some pinpoint crosses into the box and clever clipped balls in behind. Defended solidly too. Photo: Nathan Stirk

5. Charlie Taylor - 7/10
Produced some pinpoint crosses into the box and clever clipped balls in behind. Defended solidly too. Photo: Nathan Stirk

6. Josh Brownhill - 6/10
Pretty bright in the main and shifted the ball well from side to side. Came close with a dipping effort that was well saved. Photo: George Wood

7. Sander Berge - 7/10
Fairly quiet in the first half, but at the heart of a lot of good in the second. Pulled the strings from the centre of the park. Photo: Nathan Stirk

8. Johann Gudmundsson - 7/10
Provided cross for Zeki Amdouni’s early chance and came close with two good openings, heading wide and firing wide. Photo: Nathan Stirk