Match ends, Manchester United 2, Everton 1.
Manchester United edged past Everton to move to within five points of the Premier League's top four.
Jose Mourinho's side were second best throughout Tuesday's 1-0 Champions League defeat by Juventus, but climbed up two places to eighth after victory at Old Trafford over the Toffees.
The hosts went ahead through Paul Pogba's fortuitous strike - making a stuttering 26-step run-up to take a penalty that was saved by Jordan Pickford, then tucking home the rebound when it fell straight back to him.
Pogba fed fellow Frenchman Anthony Martial to curl in a delightful, first-time finish from the edge of the box in the second half.
Everton, whose three-game winning run came to an end, had chances of their own but Bernard hit the side netting after going round David de Gea and the Spain goalkeeper saved sharply from Richarlison's low strike.
Midfielder Gylfi Sigurdsson converted a penalty with 12 minutes remaining, but United held on to their advantage.
Even at this early stage in the season, United cannot afford to drop many more points if they want to achieve their minimum target of Champions League qualification come May.
After 10 games, they are nine points behind league leaders Liverpool, but were helped by fourth-placed Arsenal dropping points at Crystal Palace earlier on Sunday.
There also seems to be a new drama surrounding the club with each passing week and much has been written about the manager's future, the relationship with his players, and the team bus arriving late to the ground for games - while a newspaper report suggested that some players are to be fined for not attending a sponsorship event.
They put that aside against Everton, looking a slightly different prospect after striker Romelu Lukaku was dropped to the bench on the back of his eight-game goalless run.
With Marcus Rashford - who had a goal ruled out for offside - deployed up front and industrious summer signing Fred in the middle of the park alongside Nemanja Matic, France World Cup winner Pogba was allowed to break forward and managed a goal and an assist.
Pogba's liberated role also saw him have more touches on the ball (88) and more passes (67) than any other player on the pitch, but it was his misplaced pass that led to Everton's consolation.
United showed plenty of energy and vigour, particularly the dangerous Martial, who caused the opposition backline problems all game.
One piece of clever skill and a cross found Juan Mata, who headed straight at Pickford, and it was Martial who was tripped by Idrissa Gueye for Pogba's penalty.
The former Monaco forward capped his excellent performance with a superb finish to score his fourth goal in three league games and he could have had more, but saw a thumping effort, plus a low strike in injury time, both kept out by Pickford.
Going into the game, Everton were above their opponents in the league, after a winning streak which had seen them beat Fulham, Leicester and most recently against Crystal Palace with two late goals.
But they have now been beaten 36 times in the Premier League by United - a competition record for a single club against one opposition - and are winless in their past 19 games against the established top six.
Although their approach play was eye-catching at times against United, they were left disappointed by poor decision-making or lacklustre finishing in the final third.
Andre Gomes and Sigurdsson both headed straight at De Gea from promising positions, while Theo Walcott struck efforts which were comfortable for the goalkeeper to gather.
Free signing Bernard was a bright spark with his nifty footwork and intelligence, but the Brazilian missed a clear-cut opportunity when failing to hit the target from the angle.
It proved to be costly as his side failed to gain a point despite being given hope when Sigurdsson netted his fourth goal as a visiting player at Old Trafford after Chris Smalling chopped down Richarlison in the box.
Manchester United travel to the south coast to face Bournemouth next Saturday (kick-off 12:30 GMT), while Everton are at home against Brighton on the same day (15:00).
Match ends, Manchester United 2, Everton 1.
Second Half ends, Manchester United 2, Everton 1.
Attempt missed. Ademola Lookman (Everton) left footed shot from outside the box is too high following a corner.
Corner, Everton. Conceded by Jesse Lingard.
Substitution, Manchester United. Jesse Lingard replaces Fred.
Corner, Manchester United. Conceded by Jordan Pickford.
Attempt saved. Anthony Martial (Manchester United) right footed shot from the centre of the box is saved in the centre of the goal. Assisted by Fred.
Attempt missed. Dominic Calvert-Lewin (Everton) with an attempt from the centre of the box is close, but misses to the left. Assisted by Lucas Digne with a cross.
Foul by Ashley Young (Manchester United).
Richarlison (Everton) wins a free kick in the defensive half.
Delay over. They are ready to continue.
Delay in match Fred (Manchester United) because of an injury.
Attempt saved. Paul Pogba (Manchester United) left footed shot from outside the box is saved in the centre of the goal. Assisted by Fred.
Substitution, Manchester United. Ander Herrera replaces Juan Mata.
Offside, Manchester United. Paul Pogba tries a through ball, but Romelu Lukaku is caught offside.
Attempt missed. Richarlison (Everton) left footed shot from the left side of the box is too high. Assisted by Lucas Digne.
Attempt missed. Romelu Lukaku (Manchester United) header from the centre of the box misses to the left. Assisted by Paul Pogba with a cross.
Offside, Manchester United. Ashley Young tries a through ball, but Romelu Lukaku is caught offside.
Delay over. They are ready to continue.
Delay in match Chris Smalling (Manchester United) because of an injury.
Paul Pogba (Manchester United) wins a free kick in the attacking half.
Foul by André Gomes (Everton).
Substitution, Everton. Cenk Tosun replaces Theo Walcott.
Substitution, Everton. Dominic Calvert-Lewin replaces Idrissa Gueye.
Goal! Manchester United 2, Everton 1. Gylfi Sigurdsson (Everton) converts the penalty with a right footed shot to the bottom right corner.
Penalty conceded by Chris Smalling (Manchester United) after a foul in the penalty area.
Penalty Everton. Richarlison draws a foul in the penalty area.
Corner, Manchester United. Conceded by Kurt Zouma.
Attempt missed. Seamus Coleman (Everton) right footed shot from the right side of the box is too high. Assisted by Richarlison.
Foul by Paul Pogba (Manchester United).
André Gomes (Everton) wins a free kick in the defensive half.
Corner, Manchester United. Conceded by Kurt Zouma.
Attempt blocked. Fred (Manchester United) left footed shot from outside the box is blocked. Assisted by Anthony Martial.
Foul by Fred (Manchester United).
Seamus Coleman (Everton) wins a free kick in the defensive half.
Offside, Manchester United. Juan Mata tries a through ball, but Nemanja Matic is caught offside.
Corner, Manchester United. Conceded by Lucas Digne.
Attempt missed. André Gomes (Everton) header from the centre of the box is close, but misses to the right. Assisted by Seamus Coleman with a cross.
Substitution, Manchester United. Romelu Lukaku replaces Marcus Rashford.
Victor Lindelöf (Manchester United) wins a free kick in the defensive half.