Danny Rose’s second-half strike gave Tottenham a point after Liverpool looked on course for a second successive away win in north London.
Liverpool beat Arsenal 4-3 at the Emirates Stadium on the opening weekend of the Premier League season and were in control through James Milner’s penalty, scored just before the break after Erik Lamela fouled Philippe Coutinho.
Tottenham goalkeeper Michel Vorm had earlier saved brilliantly from Coutinho, and Joel Matip had glanced a header off the bar, as Liverpool tried to make the most of their superiority.
Mauricio Pochettino’s side finally roused themselves and after Liverpool keeper Simon Mignolet saved superbly from Toby Alderweireld’s header, Rose arrived at the far post to take Eric Dier’s cross under control and drive in a low finish to earn Spurs a point.
Jurgen Klopp’s reign as Liverpool manager started at White Hart Lane last October in a game that ended in a draw – the result may have been the same here but this is much more like the German’s side.
Liverpool still have a maddening streak of inconsistency that sees them deliver results such as the 2-0 defeat at Burnley last week but this performance, and the opening weekend win at Arsenal, are significant signposts for the future.
Here, Liverpool will feel they should have had the three points wrapped up before Spurs finally showed some of their true form to come back and get a point.
Liverpool played with more energy and urgency for the first hour, pressurising Spurs as Klopp demands, urged on in typically animated fashion by their manager. It was only their lack of a killer touch that prevented another victory.
Klopp was able to give summer signing Matip a taste of Premier League life as he wrestled with Vincent Janssen, while the pace and goal threat of Sadio Mane gives Liverpool an extra dimension – although he sailed very close to the wind after getting a yellow card in the first-half.
It was another day of frustration for Daniel Sturridge, however, restricted to a three-minute appearance as a substitute as the clock ran down.