Spurs made the perfect start to the game as Heung-min Son's deflected effort hit the underside of the bar and fell to Harry Kane, who headed home past Alisson to make it 1-0 to the visitors.
It took the Reds until after half-time to claw back level as Fabinho's lofted ball into the box was met by Henderson, with the Reds captain finishing with a left-footed half volley to score his first home goal since December 2015.
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With a little over 15 minutes to go, Sadio Mane was brought down in the box by Serge Aurier, with Mohamed Salah slamming home the penalty to hand the Reds a 2-1 win.
The victory ensured Liverpool maintain a six-point advantage over Manchester City at the top of the Premier League table. Klopp's side are in League Cup action against Arsenal in midweek before facing Aston Villa on Saturday.
Slide through our gallery below for all the best photos from a successful afternoon for the Reds.