Premier League leaders Chelsea proved too strong for West Ham as a goal from Eden Hazard proved enough to give them a 1-0 victory at Upton Park.
Jose Mourinho’s side took the lead midway through the first half in the derby clash and held onto the lead to seal a victory that keeps them five points clear of Manchester City.
Manuel Pellegrini’s side laboured for long periods of their game against bottom club Leicester at the Etihad Stadium before coming out 2-0 winners.
David Silva gave the home side the lead as he slotted home from six yards in first-half stoppage time before substitute James Milner secured the points three minutes from the final whistle after he converted a cross from Jesus Navas.
Third-placed Arsenal kept up their push for a Champions League place with a 2-1 win away to QPR, with all the goals coming in the second half at Loftus Road.
Olivier Giroud gave the Gunners the lead on 64 minutes before Alexis Sanchez doubled their advantage five minutes later having previously struggled to make his mark on the game.
Arsene Wenger was given a scare as Charlie Austin scored his 15th goal of the season for QPR late on but Arsenal held on for the win.
Manchester United left it late before claiming victory away to Newcastle.
Manager Louis van Gaal looked to have settled for a draw when he sent Michael Carrick on in the closing stages and left striker Radamel Falcao on the bench.
But moments later Ashley Young pounced on a goalkeeping mistake to score the winner, slotting home from eight yards after Tim Krul played the ball straight to him.
Liverpool’s 2-0 win at home to strugglers Burnley would have been enough to move them level on points with United if Young had not scored but instead they remain two points behind them.
A stunning half-volley from Jordan Henderson handed the advantage to the Reds and Daniel Sturridge converted a precise cross from Henderson on 52 minutes to make sure of the win.
A health scare involving Swansea forward Bafetimbi Gomis looked like casting a shadow over their trip to Tottenham.
The Frenchman collapsed on his way back to the centre-circle after Nacer Chadli had given Spurs the lead, with Gomis carried off on a stretcher after receiving lengthy treatment on the pitch.
Coming three years after Fabrice Muamba suffered a cardiac arrest on the same ground, the incident caused concern for supporters and fellow players.
But Gomis, who has a history of fainting, was conscious when he left the pitch and Swansea later confirmed the striker was fine.
After the delay, Ki Sung-yeung drew Swansea level but second-half goals from Ryan Mason and Andros Townsend handed the advantage back to Spurs.
Gylfi Sigurdsson's 89th-minute strike ensured a frantic finish and Swansea would have taken a point but for a stunning save by Hugo Lloris to keep out Federico Fernandez's header.
In the night’s other game, Stoke secured a comfortable 2-0 win over Everton at the Britannia Stadium as Mark Hughes' team made it three victories in a row.
A superb Victor Moses header put Stoke ahead after 32 minutes and Mame Biram Diouf sealed the win six minutes from time to heap further pressure on Everton boss Roberto Martinez.