Romelu Lukaku put the Red Devils 2-0 up in a commanding performance at Turf Moor. But the game turned into a lively affair after Paul Pogba missed a second half penalty and Marcus Rashford was then sent off for putting his head into Phil Bardsley.
Burnley pressed but also left gaps at the back and United could have won more comfortably.
Here, we rate both sets of players.
MANCHESTER UNITED (4-3-3)
David De Gea – 6: Very little to do but was sharp and alert. Saved smartly late on, twice from Vokes.
Antonio Valencia – 6: Always an outlet down the right. Two key passes and the same figures for tackles, interceptions and clearances.
Victor Lindelof – 7: Enjoyed his physical battle with Chris Wood. Six clearances in a very sound display for the Swede.
Chris Smalling – 7: A stout performance at a difficult venue for the much maligned defender. Three interceptions led United.
Luke Shaw – 8: Added to his burgeoning season with another fine game. A menace down the left flank and looking increasingly composed going backwards.
Marouane Fellaini – 7: Brought in to add ballast to a rickety-looking United at home to Spurs. Isn’t the most stylish but was dependable as usual, giving United a solid platform.
Paul Pogba – 6: Sprayed passes at will as Burnley offered him the freedom to operate. Will hopefully stop that dreadful penalty run-up after his poor miss.
Nemanja Matic – 6: He and Fellaini presented a united front in the Red Devils’ engine room. Neat and tidy, allowing Pogba to roam forward.
Jesse Lingard – 7: Lively and bright start showed just why he’s such a vital player for United. Could have scored two early on. A constant danger for the hosts.
Romelu Lukaku – 9: Does what he does best, put the ball in the net. Expert header is what we expect from the big Belgian. Should have had a hat-trick.
Alexis Sanchez – 8: Grew into the game. Fine outing capped with a sensational cross which was plum for Lukaku to bury. Also had a hand in the second.
Marcus Rashford – 4: Came on for the half-fit Sanchez and lasted just 10 minutes before idiotically being red-carded for reacting to Bardsley’s sly, off the ball swipe. Won United’s penalty.
Ander Herrera – 6: Put on to stifle Burnley as opportunity knocked following Rashford’s red.
Eric Bailly N/A: Late replacement for Pogba, just to get an extra body at the back.
Joe Hart – 8: The former Man City keeper would have been pumped up for this, excellent save denied Lukaku a second goal. After Burnley fell 2-0 behind he was outstanding, brilliantly saving Pogba’s penalty.
Phil Bardsley – 6: Extremely lucky not to see red for his kick out at Rashford. Led Burnley with three tackles.
Ben Mee – 3: Should a penalty have been given when Lukaku rounded Hart? How did John Moss miss his handball after being outmuscled by the United striker? An all-round uncomfortable day for the City academy graduate.
James Tarkowski – 5: Was a busy boy with five clearances, two blocked shots and two tackles, but struggled to contain United’s forward runners.
Charlie Taylor – 7: In an underperforming home defence, he was the one bright spark. Four clearances and blocked two shots.
Aaron Lennon – 5: Clumsily fouled Rashford for the penalty, but Hart rescued him. Drew three fouls from opposition players.
Ashley Westwood – 6: Didn’t do much wrong but not much right either. With the most Burnley touches (77), he would have been expected to make a more telling impact.
Jack Cork – 7: One of the hosts’ brightest performers – there weren’t too many. Jointly led side with two key passes.
Dwight McNeil – 6: Teenage winger didn’t let his side down and made his presence felt with three aerials won. Also recorded two tackles, interceptions and clearances too.
Jeff Hendrick – 5: Led Burnley in pass accuracy (92.9 per cent) bud offered little incision, replaced before the hour.
Chris Wood – 4: Gave Smalling and Lindelof plenty to think about, but lacked any punch in terms of goalscoring threat.
Sam Vokes – 6: Used his frame to good effect as he won five aerials after coming on (joint team high) and tested De Gea twice.
Ashley Barnes N/A: Got a shot off and a cross away as he looked to keep himself busy when introduced late.
Matej Vydra N/A: Belatedly thrown on to make a nuisance of himself, saw little action.
It has been the Red Devils’ worst start to a league season since 1992/93.
The additions of Sanchez and Fellaini are part of three changes made to the side that lost 3-0 at home to Tottenham, with Victor Lindelof also coming back in. Anthony Martial and Eric Bailly are back on the bench after missing out on the Spurs defeat.
Manchester United defender Luke Shaw has been handed an England recall.
The 23-year-old has not played for his country since a 1-0 defeat to Germany in 2017 but has returned at the expense of Old Trafford team-mate Ashley Young in the Three Lions’ first squad since the World Cup.
Uncapped Southampton goalkeeper Alex McCarthy is included with Burnley’s Nick Pope injured, while Joe Gomez and James Tarkowski also return for the Nations League game at Wembley against Spain on September 8 and friendly in Leicester with Switzerland three days later.
Shaw has impressed early in the season for United, including scoring his first ever senior goal in their season-opening win over Leicester.
Manager Gareth Southgate said: “He has had a difficult period adapting to a new club, a horrendous injury, but he has had an extra edge to his game.
“When it’s been going against his team he has been one who has shown aggression and a desire not to lose.
“I’m really pleased for him that he looks like he’s playing with confidence.”
Southgate has also given Adam Lallana a recall after the Liverpool midfielder was left out of the World Cup squad following an injury-plagued campaign.
Jamie Vardy and Gary Cahill have effectively retired from international football – although are available in case of an injury crisis.
In Vardy’s absence Southgate named Harry Kane, Marcus Rashford and Danny Welbeck as the only strikers in the squad.
Midfielder Ruben Loftus-Cheek keeps his place after impressing in Russia in the summer, despite playing just 22 minutes for Chelsea this season.
Southgate said: “We’re on the back of a successful tournament. Not too much can have changed in that time because we reached the semi-final and there has only been three league games.
“We had some mature conversations with Jamie Vardy, Gary Cahill and Ashley Young in terms of the desire to look at younger players.
“We had five changes anyway and we felt that was enough. We also won’t stand still.
“Luke Shaw is still only 23, Joe Gomez is 21 so we have lowered the age again. We are aware of the excitement around other young players but it might be a bit too early for some.”