The in-form striker struck in injury time to earn Mauricio Pochettino's men a dramatic draw against their London rivals, despite them falling 2-0 behind to the Hammers
Goals from Cheikhou Kouyate and Diafra Sakho looked to have given West Ham an away victory at the end of a week of frenzied speculation over manager Sam Allardyce's future.
|VIEW FROM WHITE HART LANE
|By Oli Platt
Tottenham have made up only one point, and not three, on Manchester United but this was one of those draws that felt like a victory.
Spurs have lost plenty of games like this – ‘It’s happening again’ was the chant from the away end at White Hart Lane for much of the match, such is West Ham’s recent record here – but there is a character in this team now that was not there last season.
It is embodied by nobody better than Harry Kane, who persevered until the very end to finally get his goal.
He hit the post, saw one disallowed and had a penalty saved before it finally arrived but never stopped, and what looked to be a superb away performance on the Hammers’ part ended in disappointment.
The visitors' display appeared set to give Allardyce the perfect tonic, only for Danny Rose to reduce the deficit nine minutes from time, before Kane scored his 24th goal of the season when he followed up after Adrian saved his penalty in the sixth minute of time added on.
Allardyce masterminded two victories at White Hart Lane last season, but failed to make it three in a row as West Ham were denied a second Premier League win in nine games.
Tottenham remain unbeaten at home in the top flight since November, but the draw is a blow to their hopes of securing a Champions League spot.
Mauricio Pochettino made six changes to the Tottenham side that started Thursday's Europa League draw against Fiorentina, with the in-form Kane among the players restored to the starting line-up and Christian Eriksen dropping to the bench.
West Ham welcomed Winston Reid back from injury at the expense of Kevin Nolan, who was among the substitutes along with fit-again duo James Collins and Matt Jarvis.
Tottenham made a bright start and Adrian made an outstanding save diving to his left to keep out Nabil Bentaleb's rasping long-range drive five minutes in.
Kane then had a great opportunity to open the scoring when he raced onto Rose's ball over the top and his finish trickled past Adrian, but struck the far post.
It was West Ham who were in front after 22 minutes, though, as Mousa Dembele gave the ball away and was made to pay when Aaron Cresswell's inviting cross was met by a bullet header from Kouyate.
Rose almost equalised with a header that looped just over the top of the crossbar after Kane picked out the marauding full-back but Hugo Lloris had to be alert to prevent Enner Valencia from doubling West Ham's lead shortly after.
Sakho ought to have given the visitors breathing space when Mark Noble's incisive pass sent him clear, but the striker's poor finish was saved by Lloris.
The Senegal forward made no mistake after 62 minutes, though, when he crept in at the back post to volley home Noble's cross as Rose appealed for offside against Valencia.
Noble was fortunate not to be shown a second yellow card moments later when he upended Bentaleb, which prompted an altercation with Tottenham defender Jan Vertonghen.
West Ham should have been three goals in front when captain Noble's free-kick was headed back across goal by Reid and Valencia's close-range effort was kept out by Lloris, and the Hammers were made to pay for their profligacy.
Kane thought he had pulled a goal back at the second attempt after Adrian kept out his initial effort, but the flag was up for offside before Rose set up a tense finale by scoring in the 81st minute.
The left-back drilled the ball into the ground and over Adrian after the Spaniard had flapped at Erik Lamela's cross, with the ball nestling in the bottom corner.
The Spaniard looked to have redeemed himself when he made a brilliant save from a Roberto Soldado volley, but there was one final twist to come, as Kane was brought down by Alex Song in the box at the death.
The in-form striker saw his initial spot-kick saved but Adrian could only parry the effort back into Kane's path, and he made no mistake at the second attempt as Spurs salvaged a point.