Amad then went close to a third after cutting in from the right, his effort just clearing the crossbar.
Palace’s first real chance of the second-half came when Nketiah headed just wide of the post, but opportunities were generally few and far between.
United could have ended the contest after some good skill from Mbeumo have him a sight of goal, only for Henderson to make the save that kept Palace in the contest.
Despite some late pressure from the hosts, no real clear cut chances presented themselves, with a late Justin Devenny free-kick blocked in the game's final act.
The result ends Palace's unbeaten league home run at 12 games. The Eagles will have a chance to get back to winning ways when making the trip up to Burnley on Wednesday.
Palace: Henderson (GK), Richards, Lacroix, Guéhi, Muñoz, Kamada (Lerma, 85), Wharton (Hughes, 78), Mitchell (Devenny, 85), Pino (Uche, 78), Sarr (Nketiah, 38), Mateta.
Subs: Benítez (GK), Clyne, Canvot, Esse.
Manchester United: Lammens (GK), Yoro (Mazraoui, 54), De Ligt, Shaw (Martinez, 82), Amad (Dorgu, 91), Dalot, Casemiro, Fernandes, Mbeumo (Mainoo, 91), Mount, Zirkzee.
Subs: Bayindir (GK), Heaven, Malacia, Ugarte, Lacey.