The meeting, which took place at Old Trafford, ended with a score of 1: 0 in favor of the home team.
The victory for Manchester United was brought by the goal of Brun Fernandes, who converted a penalty in the 56th minute.
Manchester United are ninth in the Premier League standings with 13 points.
West Brom with 18 points - 18th.
Earlier it was reported that Tottenham prevailed over Manchester City and topped the Premier League standings.