Despite United chasing a fourth successive win in all competitions, Palace were much the better side in the first half at Old Trafford, passing up several chances to capitalise on their superiority.
The visitors did make one count after 64 minutes, Jean-Philippe Mateta reacting first after the ball had come off the crossbar to give his side a deserved lead.
United upped the ante in search of an equaliser but lacked ideas, with Mateta condemning the hosts to a seventh home league loss this term with a late second, helping Palace climb above 13th-placed United into 12th in the standings.
“The result is really bad,” United manager Ruben Amorim told Sky Sports. “The performance was a little bit better than the last games. We controlled the transitions quite well for Crystal Palace.
“It’s normal for the fans to feel negative, it is a hard season for them but football can change in certain moments. I will prepare the next game and move forward. Better things will come.”
United came into Sunday’s encounter on the back of their best run under Amorim, having secured a third successive win in all competitions at Steaua Bucharest on Thursday.
