The meeting was held in London and ended in favor of the guests - 2: 0.
Anthony Martial and Harry Maguire scored in the Mankunians at the 45th and 66th minutes, respectively.
United scored 38 points and climbed seventh in the league table of the championship of England. Chelsea (41 points) continues to be in fourth position.
Earlier, Arsenal beat Newcastle in the match of the 26th round of the Premier League.