Manchester City had not managed to win against Liverpool at Anfield in the league since 2003.
But right now, the league leader is unstoppable.
The tenth straight victory in the league came in a convincing way with the whole 4-1 in the big meeting with Liverpool.
After just over an hour of play, however, it looked promising for the home team who scored their first home goal in 409 minutes when Mohamed Salah managed to equalize to 1-1 on penalties.
Two serious mistakes by Liverpool goalkeeper Alisson then killed the match.
He first offered City 2-1 when he kicked the ball directly to Phil Foden who assisted until Ilkay Gundogan's 2-1 goal in the 73rd minute.
Three minutes later Alisson was on another foul pass and Raheem Sterling could easily make it 3-1.
The match ended 4-1.
After the loss, four Liverpool are ten points behind in the table.
City leads the league five points ahead of second-placed Manchester United.