Spurs took the lead after just 48 seconds when Harry Kane headed in from Son Heung-Min’s shot that had come back off the post, but Liverpool hit back in the second half through captain Jordan Henderson and Mo Salah’s penalty.
Liverpool was under pressure to get a result in this game after Manchester City had cut the gap at the top of the Premier League to three points with victory over Aston Villa on Saturday.
A 1-1 draw with Manchester United last week remains the only blemish on Liverpool’s domestic season after 10 games.
“There is a little bit of relief obviously, hanging on a bit, but we’re delighted with the three points,” said goal-scorer Henderson.
“We didn’t start well but I thought we were really good in the first half and we just wanted to keep the momentum going. The mentality has improved over the last few years.”