Crystal Palace are on course to extend their unbeaten home run to nine Championship matches.
The Eagles lead 10-man Brighton & Hove Albion at half time courtesy of Glenn Murray's 38th-minute header.
Brighton's already-tough task was made even harder on eight minutes when Lewis Dunk hacked down Wilfred Zaha and was shown a red card for the professional foul.
Peter Ramage took the resultant free kick and smashed his effort against the crossbar.
After being rattled initially, the visitors regained their composure and began to gain a foothold in the game.
Palace were fortunate not to concede a penalty when William Buckley appeared to bring down Joel Ward midway through the half.
However, the hosts have dominated the game since then and took the lead when Yannick Bolasie's whipped cross found the reliable head of Murray six yards from goal.