Manchester United and Man City maintain their unbeaten runs.

SHOOTING STAR: Manchester United's Romelu Lukaku unleashes a powerful strike as Crystal Palace's Damien Delane does his best to block it. Picture: AP
SHOOTING STAR: Manchester United's Romelu Lukaku unleashes a powerful strike as Crystal Palace's Damien Delane does his best to block it. Picture: AP

Manchester City stayed ahead of bitter rivals Manchester United at the top of the Premier League with a deserved 1-0 win away to champions Chelsea.

STRIKING FORM: Tottenham's Harry Kane celebrates a goal against Huddersfield.

STRIKING FORM: Tottenham's Harry Kane celebrates a goal against Huddersfield.

After Jose Mourinho's United romped to a 4-0 victory over bottom club Crystal Palace, City had much the better of the late game at Stamford Bridge.

A second-half goal by former Chelsea forward Kevin de Bruyne won it and left them just ahead of United on goal difference.

HEADS UP: Chelsea's Cesar Azpilicueta and Man City's Fabian Delph clash.

HEADS UP: Chelsea's Cesar Azpilicueta and Man City's Fabian Delph clash.

Chelsea, starting the day three points behind the Manchester pair in third place, dropped to fourth after two more goals from Harry Kane helped Tottenham to a comfortable 4-0 win away to Socceroo Aaron Mooy's Huddersfield Town.

United's win left Palace rooted to the bottom of the table after a record seventh successive defeat without a goal to start the season.

Beaten 5-0 away by City in their last game, Palace avoided a repeat but became only the second team since the Premier League began to lose their first seven games. Unlike Portsmouth in 2009-10, though, they have not scored a single goal.

Romelu Lukaku's late strike meant that free-scoring United have hit four goals in a game six times this season.

Juan Mata and Marouane Fellaini scored before halftime and when Fellaini headed in his second just after the interval, the points were made even more secure.

"We started strong and we finished strong," Mourinho said.

England striker Kane continued his astonishing run with two more goals as Spurs went 3-0 up by halftime at promoted Huddersfield. Ben Davies scored the other first-half goal and Moussa Sissoko added a fourth just before the final whistle.

Kane, having failed to score at all in August once again, made it 13 for club and country during September.

Asked if he has ever felt more on top of his game, Kane replied: "Probably not.

"If you look at the goals to games it's probably the best month I've had, especially after August. It's nice, I feel good, I feel confident, when these boys are up the pitch putting in good crosses and through balls and I'm just there to put them away.

"I'm delighted with the win, it's been a great week for the team, and we've just got to continue that after the international break."

In two key games at the wrong end of the table, West Ham United had a late 1-0 win over Swansea City to move above them but Bournemouth were held to a scoreless draw at home by Leicester City.

West Ham relieved some of the pressure on manager Slaven Bilic when two of his substitutes combined for a dramatic winning goal.

Arthur Masuaku crossed for Diafra Sakho to score, taking the London side out of the bottom three and putting Swansea there instead.

"It was a difficult atmosphere in some ways," West Ham goalkeeper Joe Hart said of a home crowd who grew increasingly restless.

"I'm never going to criticise the fans, they pay their money and have a right to their opinion."

West Brom and Watford played out a 2-2 draw.