David de Gea (7): Did well early on to stop a couple of rasping drives from Charlie Daniels and Dan Gosling, during a period when Bournemouth were on top. Was not as busy in the second half as he claimed yet another clean sheet.
Antonio Valencia (6): Standard performance from the United captain. Defensively solid and got forward well, but his end product lacked quality.
Phil Jones (7): Returned from injury to marshal the defense well. Made a few crucial blocks and interceptions, and showed why he is one of the better centre-backs at the club.
Chris Smalling (6): Smalling is becoming an ever-present at the back for United, and he looked assured alongside Jones.
Luke Shaw (7): Shaw was effervescent on his return to league action. Bombed up and down his flank, defensively diligent and provided an attacking outlet on the left. Mourinho may soon have a decision to make over the left-back spot.
Scott McTominay (6): Passed well enough, but looked understandably nervous in his first league start this season. Matic was a calming influence alongside him, and he improved in the second half, especially with his tackling.
Nemanja Matic (6): Constantly kept the ball moving as he linked defence and attack. Solid display, despite the late handball just outside United’s box.
Juan Mata (7): Started after a period on the bench, and justified it with a beautiful cross for Lukaku’s goal. Constantly involved in United’s attacking moves.
Jesse Lingard (6): Perhaps lacked quality on the ball, but pressed aggressively without it and his off-the-ball runs repeatedly opened areas up for United.
Anthony Martial (6): Did well coming inside from the left, but should have scored with the goal at his mercy in the second half.
Romelu Lukaku (7): Not good enough with the ball early on, but his emphatic header put United ahead and he seemed to gain confidence from the goal.
Marcus Rashford (7): Came on for Martial and almost scored with a fantastic long-range effort which hit the bar.
Ander Herrera (6): Brought on to see out the game, did exactly that.
Ashley Young (5): Came on for Shaw late on, but almost gifted Bournemouth a chance.