The London side could only find an injury-time consolation as the Sky Blues produced arguably their best performance of the season.
Manchester City simply blew Chelsea away with their wonderful display – at least in the first half.
It did not look like the team in a lighter shade of blue were going through a health crisis as Pep Guardiola’s men found the net thrice with breakaways within a space of just over 15 minutes.
Ilkay Gundogan opened the scoring. The midfielder let the ball roll across his body before rattling a low shot into the far corner.
Phil Foden doubled his side’s lead, turning from provider to scorer with a simple tap-in after finding himself completely unmarked.
The third goal, scored by Kevin De Bruyne, came from Chelsea’s own free-kick. Sterling, after being put through on goal following an opposition free-kick, hit the post and the rebound fell to De Bruyne who then made no mistake and sidefooted the ball home.
With the clock ticking the final few seconds, substitute Callum Hudson-Odoi pulled one back for Frank Lampard’s side.
Manchester City move to fifth place in Premier League standings while Chelsea take up eight place after the 3-1 result at Stamford Bridge.
Chelsea: Mendy – 5, Azpilicueta – 4, Silva – 5, Zouma – 5, Chilwell – 4, Kante – 4, Mount – 5, Kovacic – 5, Pulisic – 6, Werner – 5, Ziyech – 5, Hudson-Odoi – 7, Gilmour – 5, Havertz – N/A
Manchester City: Steffen – 6, Cancelo – 8, Stones – 7, Dias – 7, Zinchenko – 7, Rodri – 7, Gundogan9, De Bruyne – 7, Bernardo – 7, Foden – 8, Sterling – 7, Fernandinho 6, Mahrez – N/A, Aguero – N/A