Ayew's goal was Palace's first of the season
Crystal Palace stunned Manchester United with an injury-time winner to record their first victory at Old Trafford since 1989.
Full-back Patrick van Aanholt scored in the 93rd minute, smashing in as the ball broke loose following Wilfried Zaha's burst forward.
Daniel James thought he had rescued a point for United when he curled in a delightful equaliser in the 89th minute following neat build-up from Marcus Rashford and Anthony Martial.
But Rashford will rue striking the post from the penalty spot - the second spot-kick the Red Devils have missed this week.
Jordan Ayew had scored the opener in the first half against the run of play, latching on to Jeffrey Schlupp's flick-on and coolly converting Palace's first goal of the campaign, before the late drama.
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Relive Crystal Palace's shock win over Manchester United
See the rest of Saturday's Premier League action
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Line-ups
Match Stats
Live Text
Line-ups
Man Utd
1de Gea
29Wan-BissakaBooked at 46mins
2Lindelöf
5Maguire
23ShawSubstituted forYoungat 34'minutes
6Pogba
39McTominaySubstituted forMataat 85'minutes
21JamesBooked at 71mins
14LingardSubstituted forGreenwoodat 56'minutes
10Rashford
9Martial
Substitutes
8Mata
15Pereira
18Young
22Romero
26Greenwood
31Matic
38Tuanzebe
Crystal Palace
31GuaitaBooked at 86mins
2Ward
34Kelly
24CahillBooked at 41mins
3van Aanholt
11ZahaBooked at 79mins
18McArthur
4MilivojevicBooked at 38mins
8KouyatéSubstituted forMcCarthyat 83'minutes
15SchluppSubstituted forTownsendat 80'minutes
9J AyewSubstituted forBentekeat 75'minutes
Substitutes
6Dann
7Meyer
10Townsend
13Hennessey
17Benteke
21Wickham
22McCarthy
Referee:
Paul Tierney
Attendance:
73,454
Match Stats
Home TeamMan UtdAway TeamCrystal Palace
Possession
Home71%
Away29%
Shots
Home22
Away5
Shots on Target
Home3
Away3
Corners
Home8
Away1
Fouls
Home8
Away18
Live Text
Posted at
Match ends, Manchester United 1, Crystal Palace 2.
Full TimePosted at 90'+6'
Second Half ends, Manchester United 1, Crystal Palace 2.
Goal!Posted at 90'+3'
Goal! Manchester United 1, Crystal Palace 2. Patrick van Aanholt (Crystal Palace) left footed shot from the left side of the box to the bottom left corner.
Posted at 90'+1'
Juan Mata (Manchester United) wins a free kick in the defensive half.
Posted at 90'+1'
Foul by James McCarthy (Crystal Palace).
Posted at 90'
Attempt missed. Wilfried Zaha (Crystal Palace) right footed shot from the left side of the box is close, but misses to the left. Assisted by Luka Milivojevic following a fast break.
Goal!Posted at 89'
Goal! Manchester United 1, Crystal Palace 1. Daniel James (Manchester United) right footed shot from the centre of the box to the top right corner. Assisted by Anthony Martial.
BookingPosted at 86'
Vicente Guaita (Crystal Palace) is shown the yellow card.
Posted at 86'
Foul by Anthony Martial (Manchester United).
Posted at 86'
Luka Milivojevic (Crystal Palace) wins a free kick in the defensive half.
SubstitutionPosted at 85'
Substitution, Manchester United. Juan Mata replaces Scott McTominay.
SubstitutionPosted at 83'
Substitution, Crystal Palace. James McCarthy replaces Cheikhou Kouyaté.
Posted at 82'
Delay over. They are ready to continue.
Posted at 81'
VAR Decision: No Penalty Manchester United.
Posted at 81'
Delay in match (Manchester United). VAR checking.
Posted at 81'
Corner, Manchester United. Conceded by Luka Milivojevic.
SubstitutionPosted at 80'
Substitution, Crystal Palace. Andros Townsend replaces Jeffrey Schlupp.
Posted at 79'
Attempt missed. Paul Pogba (Manchester United) header from the centre of the box is too high. Assisted by Ashley Young with a cross following a set piece situation.
BookingPosted at 79'
Wilfried Zaha (Crystal Palace) is shown the yellow card for a bad foul.
Posted at 79'
Daniel James (Manchester United) wins a free kick on the left wing.
Posted at 79'
Foul by Wilfried Zaha (Crystal Palace).
Posted at 78'
Attempt missed. Scott McTominay (Manchester United) left footed shot from outside the box is high and wide to the left.
Posted at 77'
Attempt missed. Paul Pogba (Manchester United) header from the centre of the box is high and wide to the right. Assisted by Ashley Young with a cross following a corner.
Posted at 76'
Corner, Manchester United. Conceded by Joel Ward.
Posted at 76'
Attempt blocked. Scott McTominay (Manchester United) header from the right side of the six yard box is blocked. Assisted by Ashley Young with a cross.
Posted at 76'
Marcus Rashford (Manchester United) wins a free kick on the left wing.
Posted at 76'
Foul by Joel Ward (Crystal Palace).
SubstitutionPosted at 75'
Substitution, Crystal Palace. Christian Benteke replaces Jordan Ayew.
Posted at 74'
Scott McTominay (Manchester United) wins a free kick in the attacking half.
Posted at 74'
Foul by Jordan Ayew (Crystal Palace).
Posted at 73'
Attempt saved. Harry Maguire (Manchester United) header from the right side of the box is saved in the centre of the goal. Assisted by Ashley Young with a cross.
Posted at 72'
Corner, Manchester United. Conceded by Martin Kelly.
BookingPosted at 71'
Daniel James (Manchester United) is shown the yellow card.
Posted at 71'
Daniel James (Manchester United) has gone down, but that's a dive.
Posted at 70'
Penalty missed! Still Manchester United 0, Crystal Palace 1. Marcus Rashford (Manchester United) hits the left post with a right footed shot.
Posted at 69'
Penalty Manchester United. Scott McTominay draws a foul in the penalty area.
Posted at 69'
Penalty conceded by Luka Milivojevic (Crystal Palace) after a foul in the penalty area.
Posted at 67'
Delay over. They are ready to continue.
Posted at 65'
Delay in match because of an injury Luka Milivojevic (Crystal Palace).
Posted at 65'
Foul by Paul Pogba (Manchester United).
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Source: bbc.com