After a goalless first half, Sadio Mane headed the Reds into the lead six minutes after the re-start from Jordan Henderson’s excellent stand-up towards the back post.
Mohamed Salah added a second moments later, finding the top corner with a sensational long-range strike that arrowed across goal and into the net.
The result means Liverpool again end the weekend at the summit of the division, leading by two points albeit having played a game more than Manchester City.
Team news
The teamsheet showed two changes from the midweek victory over FC Porto for Liverpool, with Andy Robertson and Joel Matip replacing James Milner and Dejan Lovren in defence.