Harry Kane gave Spurs an early lead in the rematch of June’s Champions League final when he planted in a header off a rebound within a minute of kickoff.
The Reds were on top for much of the first half without producing an equalizer, which instead eventually came via Jordan Henderson’s quality strike at the 52-minute mark.
Mohamed Salah settled a close affair with 15 minutes remaining, arrowing in a penalty after Serge Aurier fouled Sadio Mane in the box.
The victory put Jürgen Klopp’s side six points clear at the Premier League summit again and extended their unbeaten start to 10 games.
