Gabriel Jesus struck a crucial early goal for the second successive game, to head City into a third minute lead at Turf Moor.
And skipper for the night Raheem Sterling then added a vital second shortly before the break to seal the deal.
The victory - our ninth successive Premier League success - moved us three points clear of Manchester United at the top and with a crucial game in hand.
Watch the best of the action via the video above!
CITY+ subscribers can watch a full 90-minute replay from midnight.
Also available now on CITY+
Shaun Wright-Phillips: City’s Homegrown Hero explores how Wright-Phillips came to be idolised by the City fans, who also provide their own input into just why the Academy graduate was and remains so adored.
It’s a compelling and fascinating look into what helped cement Wright-Phillips as one of City’s most beloved sons.
CITY+ is our content subscription service, which is available on all our digital platforms - mancity.com, Man City app and Smart TV.
It provides access to a host of CityTV documentaries, as well as full match replays of our first team and women’s sides and selected EDS and Academy games.
Fans can sign up to a 30-day free trial, after which CITY+ is just £1.99GBP / month.
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