A late rush of blood by Manchester United goalkeeper Andre Onana threw Burnley a relegation lifeline at Old Trafford.
United had been set to take the points when Antony capitalised on a mistake by Sander Berge after 80 minutes to put the home side.
But Onana – who had made a string of saves earlier in the afternoon – blotted his copybook by charging into Zeki Amdouni as he came for a cross.
Referee John Brook was advised by VAR to check his monitor and Amdouni made no mistake from the spot with only three minutes of normal time remaining.
The result left United in sixth place while Vincent Kompany's team moved to within two points of safety with Nottingham Forest facing Manchester City on Sunday.
In an entertaining match that produced 43 shots, the only surprise was there weren't more goals with Bruno Fernandes hitting the woodwork for United and Onana twice making brilliant saves to deny Lyle Foster.
For Erik ten Hag there was also the embarrassment of being booed by his own fans when he decided to take Kobbie Mainoo off midway through the second half.
Despite Burnley's lowly league position, they turned up at Old Trafford in marginally better form than their hosts.
Vincent Kompany's side had taken 10 points from their previous seven matches compared to United's nine.
A remarkably open start saw David Fofana get goalside of United's emergency centre-half Casemiro after only 19 seconds only to fire straight at Onana.
United went straight up the other end with Alejandro Garnacho firing over from eight yards.
Antony then tried his luck from 25 yards and Cristian Eriksen curled wide as home pressure grew.
Antony, who has endured a disappointing season following allegations over his private life, looked in the mood to shine. The
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