Goals from Wilfried Zaha and Christian Benteke turned the game on its head after Cesc Fabregas early goal.
Chelsea created chances after going behind but Crystal Palace goalkeeper Wayne Hennessey made good saves to preserve his team’s lead.
After watching his team lose for the first time at home since our 2-1 loss to Liverpool in September, Chelsea boss Antonio Conte feels Chelsea deserved at least a draw.
“I think today we deserved at least a draw,” said Conte.
“I don’t want to say a win, but at least a draw. We created many chances to score, we dominated the game against a very strong team with really good players. It’s a pity but it wasn’t our day.”