A goal in either half earned Crystal Palace their first Premier League win in six games in a cagey affair at Burnley.
Wilfried Zaha struck the opener right on half-time with a low drive, despite Burnley goalkeeper Nick Pope getting a hand to the ball at his near post.
Jeffrey Schlupp sealed victory nine minutes after coming on as a substitute as he capitalised on Ben Mee's mistake to fire between Pope's legs from inside the area.
Chris Wood had Burnley's best chance but he could only smash his effort over the crossbar from close range.
Palace move up to 10th in the table, level on points with Burnley, who are eighth.