The Blues defeated Ole Gunnar Solskjaer's side 3-1 on the night, courtesy of goals from Olivier Giroud, Mason Mount and an own-goal from Harry Maguire.
Bruno Fernandes grabbed a consolation goal for Manchester United via the penalty spot as they bowed out of the competition.
During the match, BBC sport pundit Martin Keown - who formerly played for Arsenal - admitted that he was highly impressed with Chelsea's performance at Wembley.
Speaking to BBC Sport during the game, the former Arsenal defender said: “Chelsea have been simply too good, they have been too strong.
“It (the third goal) has come off Harry Maguire, but even then, David De Gea isn’t doing anything to help him.
“I think Frank Lampard will be a very proud man.”
Having sealed their place in the final of the FA Cup, Chelsea will now switch their attentions back to the English Premier League as they bid to secure automatic qualification for next season's UEFA Champions League.
The Blues will make the trip to Anfield to fight it out with Premier League Champions Liverpool on Wednesday night before hosting Wolves on Sunday in their final PL game of the season.
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