City were looking to take maximum advantage of Liverpool's 1-1 draw with Spurs on Saturday evening.
The Blues survived a 12th-minute scare when Allan Saint-Maximin’s cross into the middle found Chris Wood and Joelinton free at the far post but Wood’s tame header from five yards was easily saved by Ederson.
Then, City went ahead on 19 minutes, as Ilkay Gundogan’s floated cross to the far post found Joao Cancelo and his header across the six-yard box to Raheem Sterling saw the England forward nod past Martin Dubravka.
City continued to create chances and finally doubled the lead on 39 minutes.
Watch the extended highlights on the video above...