Michael Duff's Development side lost their Under-23 Professional Development League opener to a strong and experienced Crystal Palace line-up, with Sam Woods and Scottish international James McArthur getting the goals.
A Palace side also including former Newcastle and Paris St-Germain midfielder Yohan Cabaye, experienced centre-half Damien Delaney and Sullay Kai Kai, who was on loan at Championship side Brentford last season, scored twice after the break to take the points at the Eagles' training ground.
The Clarets got off to a positive start and came close when captain Luke Hendrie glanced a header just wide of the goal following Dwight McNeil's free-kick.
Minutes later Burnley had the ball in the back of the net following a neat move which ended with Jamie Thomas heading home, but the referee ruled out the effort after spotting a foul in the build-up.
Palace then had their first opportunity of the game when France international Cabaye struck a shot from outside the area well over the cross-bar.
The hosts then broke forward on a counter-attack, with Kaikai slipping in Andre Coker before Scott Wilson made an excellent block to deny the forward a chance on goal.
Duff's side were looking lively and were inches away from breaking the deadlock when Thomas rattled the post with a free-kick from just outside the area.
And just before half-time, youth-team defender Oliver Younger rose highest from a corner and powered a header just over Palace keeper Dion Henry's bar.
A switch for the home side then saw McArthur come on for Cabaye at the start of a much quieter second half.
Palace did come close to opening the scoring when Coker poked an effort just wide of Aidan Stone's goal.
And the Eagles broke the deadlock through a set-piece routine, McArthur heading the ball across goal towards Woods who slotted home from close range to give the Londoners the lead.
Despite Burnley's best efforts at grabbing an equaliser, it was Palace who got a second goal late on as McArthur picked up the ball outside the box and curled a shot home to bank the points.
Burnley: Stone, Hendrie, Younger, Wilson, Koiki, Chakwana (Wood 88), Nabi, N'Guessan, Thomas (Bayode 60), McNeil, Metz (Limb 68). Substitutes: King, Birch.
(Picture courtesy of Crystal Palace)