The outcome implies that, with Manchester City beating Toolbox previously in the day, United are now 8 points behind their city competitors at the top of the Premier League table.
Chelsea made modifications to the side which lost at Roma in the Champions League in midweek.
Midfielder N’Golo Kante went back to the side after a hamstring injury while Andreas Christensen and Davide Zappacosta can be found in to change David Luiz and Antonio Rudiger.
Jose Mourinho, back at his old club, had Marouane Fellaini back with a put on the bench while he made 6 modifications from the side that beat Benfica in midweek.
Chelsea were commemorating inside the very first 10 minutes with the ball in the United web with exactly what appeared like a Phil Jones own objective however the referee prohibited it for a push by Morata.
It was showing to be an amusing video game with both sides having even more possibilities in a chaotic opening duration.
Cesc Fabregas headed into the side netting for Chelsea while, at the other end, Marcus Rashford need to have done much better with a header which went onto the roofing of the internet.
The video game lulled a little prior to the period however Chelsea began the 2nd duration highly and took the lead on 55 minutes, Cesar Azpilicueta feeding Morata, whose header entered at the far post, beating David de Gea.
When he came on and he required a great conserve from Thibaut Courtois as United pushed for an equaliser, Fellaini triggered issues for Chelsea.
It didn’t come and Chelsea take the 3 points which keeps them 4th in the table.
The other video game on Sunday night saw Watford handle Everton at Goodison Park and they stormed into a two-goal lead, Richarlison and Christian Kabasele scoring for the Hornets.
Oumar Niasse and Dominic Calvert-Lewin pulled it back for Everton and they won it late with a Leighton Baines charge. Tom Cleverley missed out on a charge at the other end to save a point for Watford.