Both City and Liverpool have 62 points, but City have the upper hand on goal difference, having played one game more than Juergen Klopp's side.
It is the first time City have been top since December 8th.
Liverpool play Bournemouth this weekend and City host Chelsea.
The match was a re-arranged fixture caused by City's advance to the League Cup final and the visitors took the lead on the stroke of halftime when French defender Aymeric Laporte was left unattended to head home a David Silva free kick curled in from the left.
