Mason Greenwood’s 81st-minute strike proved decisive as the Reds won a fierce battle for supremacy.
The result means Ole Gunnar Solskjaer celebrated his 100th league match in charge with a victory and United have set a new English league record for unbeaten away games, a remarkable 28 matches stretching back to January 2020.
Meanwhile, Greenwood has become just the second teenager to score in his team's first three Premier League games of the season, after Robbie Fowler did so for Liverpool in 1994/95.
FIRST HALF – WOLVES UP FOR THE FIGHT
An electric atmosphere inside the ground was met with a blistering start to the match and, within the opening minutes, Jadon Sancho was driving at the Wolves defence.