Jürgen Klopp’s side further extended a run that began back in May 2017 when they registered a 3-0 win against Leicester City in the Premier League.
A Jonny Evans own goal was added to by Diogo Jota and Roberto Firmino to secure three points and a piece of history.
This Reds team have now moved clear of the previous best – 63 successive league matches without a loss at Anfield under Bob Paisley between 1978 and 1981.
The reigning champions have won 53 and drawn 11 of those 64 games, scoring 169 goals and conceding 42 for a total of 170 points.
Klopp has used 40 different players during this streak, compared to the 20 selected by Paisley over the course of the run he masterminded – which, by a quirk of fate, was ended by Leicester.