Chris Wood' s eighth minute strike ended a run of eight games without a win at home in all competitions and lifted Sean Dyche's side out of the Premier League's relegation zone.
Burnley, who travel to Manchester City next, are now 16th having collected five points from eight games.
Have a flick through our gallery to relive the action...
5.
Andros Townsend of Crystal Palace is challenged by Josh Brownhill of Burnley during the Premier League match between Burnley and Crystal Palace at Turf Moor on November 23, 2020 in Burnley, England. Photo: Martin Rickett
6.
Burnley's English defender Matthew Lowton (R) vies with Crystal Palace's English midfielder Eberechi Eze (L) during the English Premier League football match between Burnley and Crystal Palace at Turf Moor in Burnley, north west England on November 23, 2020. Photo: Martin Rickett
7.
Andros Townsend of Crystal Palace is challenged by Dwight McNeil of Burnley during the Premier League match between Burnley and Crystal Palace at Turf Moor on November 23, 2020 in Burnley, England. Photo: Jan Kruger
8.
Jay Rodriguez of Burnley is challenged by Cheikhou Kouyate of Crystal Palace during the Premier League match between Burnley and Crystal Palace at Turf Moor on November 23, 2020 in Burnley, England. Photo: Martin Rickett