But Trent Alexander-Arnold drilled in an 80th-minute equaliser with his right foot to deny City a 24th successive home win in all competitions.
The result left City on 29 points from 13 games with Liverpool one point behind and Arsenal later claimed a late 1-0 victory at Brentford thanks to Kai Havertz's header.
Arsenal leapfrogged Liverpool and City into first place with 30 points.
Haaland did what he does best, firing home after Alisson's poor clearance had found its way to Nathan Ake.
Not only in the goal -- around the goal, in all situations he was a really important player and a really good game from him," Liverpool manager Juergen Klopp said.
Persons:
Erling Haaland, Alisson, Andy Cole, Trent Alexander, Arnold, Kai Havertz's, Haaland, Nathan Ake, Alexander, Trent, Juergen Klopp, Aaron Ramsdale, Bryan Mbeumo, Declan Rice, Leandro Trossard, Havertz stooped, Mikel Arteta, Chelsea, Mauricio Pochettino, Alexander Isak, Raheem Sterling's, Jamaal Lascelles, Newcastle's, Thiago Silva, Reece James, Anthony Gordon, Pochettino, Joao Pedro, Lewis Dunk, Jacob Brown, Martyn Herman, Toby Davis
Organizations:
Premier League, Brentford Newcastle, Chelsea, Manchester City, Liverpool, City, Arsenal, Brentford, Newcastle United, Brighton, Hove Albion, Nottingham Forest, Sunday, Newcastle, Luton Town, Burnley, West Ham United, Bournemouth, Sheffield United, Thomson
Locations:
Liverpool, Newcastle, Forest, Crystal