Toure scores from penalty spot
Iheanacho scores tap-in for second
Davies scores late own goal
John Stones off with early injury
Hull bottom of the league at kick-off
That is all for our Premier League coverage for today.
There is still some live football to follow on BBC Sport courtesy of Newcastle v Sheffield Wednesday from the Championship.
As for the Premier League... we'll be back tomorrow for Liverpool v Stoke.
I'll see thee.
Hull 0-3 Man City
More from Hull manager Mike Phelan: "This is where we are at the moment. We make a mistake or get caught in certain situations and we need to manage the game a lot better, as professionals to make sure when we are in the game, we stay in the game.
Hull 0-3 Man City
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Hull 0-3 Man City
Hull manager Mike Phelan, speaking to the BBC: "The penalty was the major turning point.
"Andrew Robertson is heartbroken over it because he knows he has suffered a harsh lesson there - he has got to stay on his feet and shuffle the player across into an area where maybe his team-mate can do a little bit better at making an attempt to tackle.
"But he has learned from that, and he will learn a lot more at this level. He is a good young player, and a good kid to have around but he has made a basic basic mistake that has cost us.
"Until then, we put everything together the best way we could. I thought we were very very solid and moved the ball around well. We got to their players quickly and definitely frustrated them, we caused them a few problems now and again."
Hull 0-3 Man City
Man City boss Pep Guardiola, speaking to the BBC: "I enjoyed it because we won but like always had to work hard for it. In the first half we forgot where the goal was, in the second half, our strikers saw the goal a bit more and after the first goal it was easy.
"There is always pressure for us because the top of the league is tough and the other teams at the top had won today. Every game we play is like a final."
Does that make a difference, seeing other teams have won before you play? "You have to win, the other games sometimes you play before or after them but the goal is the same."
On John Stones, who went off injured in the first half: "We were a little bit worried about that but it is just a kick, hopefully OK for Liverpool. A kick not ligaments or something like that."
Hull 0-3 Man City
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Hull 0-3 Man City
Manchester City
Manchester City captain Yaya Toure speaking to Sky Sports: "It was my boy's birthday yesterday and he told me I was going to score a goal so that was for him.
"I'm always delighted to play and I think today, being part of the winning team is a massive achievement for me."
After another busy Boxing Day, watch presenter Gary Lineker reveal the running order:
Hull 0-3 Man City
You know things aren't going well when even your own tie betrays you.
Image source, Reuters
Image source, ReutersHull 0-3 Man City
Pat Nevin
Ex-Chelsea winger on BBC Radio 5 live
Raheem Sterling has had three runs towards the defence in this second half - when he can be bothered he is unstoppable.
That was anything but a comfortable win.
It was a long way away from where I have seen them in previous matches but it doesn't matter.
They are back to second in the table.
Hull 0-3 Man City
Game over. Man City go second, Hull City stay bottom.
Curtis Davies own goal
The final kick of the game comes from Curtis Davies and it is to send the ball in to his own net. Yaya Toure's superb pass releases Raheem Sterling down the left. He darts into the box and past Michael Dawson before driving in a low cross that Davies pokes into the goal.
The scoreline is harsh on Hull but this is the talent Man City possess. Even when they aren't playing at their best they are potent.
Image source, ReutersHull 0-2 Man City
Robert Snodgrass curls his effort round the wall but it is saved by Claudio Bravo. Three minutes of injury time have been added.
Hull 0-2 Man City
Mike Phelan remains on his feet, barking out instructions. He is a professional but he knows his side were done from the moment Yaya's penalty hit the back of the net.
However, with just injury time left they have bee given a chance of a consolation. They have a free-kick near the edge of the box...
Hull 0-2 Man City
With the three points secure, Pep withdraws David Silva and sends on Fernando.
Hull 0-2 Man City
John Murray
BBC Radio 5 live commentator
I read an interview with Pep Guardiola before this game which said when he was in Spain, he was always envious of the Premier League playing matches on Boxing Day.
He said he always watched at home and wanted to be involved with the festive matches...
Hull 0-2 Man City
A couple of stats on both of Man City's goalscorers today...
Yaya Toure has scored all 10 of his Premier League penalties, the best 100% record in the competition.
Kelechi Iheanacho has netted 12 Premier League goals from just 19 shots on target.
Not bad.
Image source, Getty ImagesHull 0-2 Man City
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Hull 0-2 Man City
There are seven minutes to go. But I think it is safe to say that Pep Guardiola's team are going second in the table tonight.
Hull 0-2 Man City
Pat Nevin
Ex-Chelsea winger on BBC Radio 5 live
This game has turned around very, very quickly indeed.
Sometimes, those teams challenging for the top competitions have to decide when they are going to turn it on. That was it for Man City.