Jordan Ayew's pinpoint cross into the opponent's box was met by Chris Richards who connected it with a beautiful header.
The 68th-minute goal was the first of three goals that Crystal Palace put past Burnley in a February 24 Premier League fixture at Selhurst Park.
Three minutes later, Jordan grabbed his goal on the afternoon also meeting a Matheus Franca cross across the opponent's goal area.
Jean Phillipe Mateta sealed victory for the South London side in the 79th minute.
It was the second goal in back-to-back games for the inform Ghanaian forward, who seems to be sparking Palace into a late surge at the business end of the campaign.
Ayew finished brilliantly after meeting a fine cross from the left by Matheus Franca.
The former Swansea attacker has now netted four goals in the ongoing campaign, adding his ninth assist of the season.
TWI NEWS
First @premierleague goal ✅
— Crystal Palace F.C. (@CPFC) February 24, 2024
First Palace goal ✅
Chris Richards, everyone ???? pic.twitter.com/OFndeTxE9l