Pep Guardiola’s side eased to victory over the Premier League champions to secure a famous victory at Anfield, where City had previously not won since 2003.
Ilkay Gundogan missed a first half penalty, but made amends with two goals after the break as he continued his fine scoring run.
Mohamed Salah’s penalty was sandwiched in between the German’s strikes – awarded after Ruben Dias tugged at the Egyptian forward’s shirt – with Raheem Sterling and Man of the Match Phil Foden completing the scoring for City.
An even contest swung heavily in Guardiola’s side’s favour after two mistakes from Liverpool goalkeeper Alisson.
Match report: Liverpool 1-4 City