Romelu Lukaku Goal in the 25 minute helped him side beat AFC Bournemouth 1-0 at Old Trafford.
With that they ended United’s club record of 40-match unbeaten home streak on Sunday.
It was Belgium striker’s third United goal in 15 matches a poor run that has led the summer signing to come under scrutiny, especially in the wake of Sunday’s derby defeat.
The striker had been guilty of a poor challenge on Bournemouth’s Nathan Ake by that point but produced a good overall display, providing a second-half cross that Anthony Martial failed to convert before Marcus Rashford hit the crossbar.
Manchester United Goal keeer David De Gea needed to produce some good saves to prevent Eddie Howe’s Cherries from ending a promising display with a positive result as United held out for a solid, if unconvincing win.
Later after avoiding action from referee Graham Scott for a clumsy challenge on Ake, Lukaku showed strength and poise to meet a Juan Mata cross with a header that flew into the top right-hand corner.
The 25th-minute Goal would have been a relief for the Belgium international, but he was not giving much away.
Shaw almost forced an own goal on his first league appearance of the season as United pushed for a second, but De Gea had to deny a deflected Junior Stanislas strike and Ryan Fraser cross shot before the break.
Mata and Jesse Lingard had their chances when play resumed for the second half, and Martial was guilty of a shocking miss with Asmir Begovic out of position when he met a squared Lukaku pass from close range.
Rashford sent a resounding 20-yard effort off the underside of the crossbar but United were now struggling for fluency.
Substitutes Jermain Defoe and Lewis Cook efforts were denied by De Gea either side of a blocked stoppage-time strike from Lukaku, but there was to be no late fireworks.