Garry Monk’s side good value for all three points.
Louis van Gaal’s push for a top four spot rocked at the Liberty Stadium.
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Man United took the lead against Swansea City, against the run of play, when Ander Herrera put the away side ahead on 28 minutes following good work from Luke Shaw and Wayne Rooney.
Ki Sung-yueng leveled just two minutes later after a great assist from Jonjo Shelvey.
The South Wales side took the lead with just over a quarter of an hour left in the game when a long range effort from Shelvey deflected off Bafetimbi Gomis and past David de Gea.