Liverpool took the lead after only three minutes when Mohamed Salah scored his 20th league goal of the season, and that looked as though it would be enough to earn the Reds the points until Victor Wanyama came off the bench to levell things up with a stunning strike 10 minutes from time.
Tottenham were awarded a controversial penalty shortly afterwards when Kane was brought to ground inside the area byLoris Karius.
However, Karius did well to save resulting, and that looked like being an even more costly miss when Salah doubled his personal tally with a brilliant individual effort in the first minute of stoppage time.
The game continued when Spurs were then awarded another late penalty, though, with the linesman overruling referee Jon Moss’s original decision after Virgil van Dijk had brought down Erik Lamela.
Kane stepped up once again, and this time he held his nerve to score a 95th-minute equaliser which not only brought up his century in the Premier League (100 premier league goals) , but also earned the visitors a draw which leaves them just one point off the top four.
Liverpool vs Tottenham starting xi
LIVERPOOL (4-3-3):Karius; Alexander-Arnold, Lovren, Van Dijk, robertson; Can, Henderson (Wijnaldum, 65′), Milner (Matip, 78′); Salah, Firmino, Mane (Oxlade-Chamberlain, 65′)
Harry Kane has had a hand in seven goals in six Premier League appearances against Liverpool (five goals, two assists), including three in the reverse fixture this season (two goals, one assist)
Jurgen Klopp is unbeaten in his last 13 home Premier League meetings against the ‘big six’ (W6 D7) since a 1-0 defeat to Man Utd in January 2016
Mohamed Salah has netted 20 goals in just 25 games in the Premier League; the fewest appearances of any Liverpool player to reach 20 goals in the competition
Dele Alli has been handed three yellow cards for simulation since his debut Premier League season in 2015-16; no player has received more
Victor Wanyama has been on the winning side in all eight previous Premier League games in which he’s scored.
Harry Kane has scored 100 goals in the Premier League in just 141 appearances – only Alan Shearer (124) reached the 100 goals in the competition in fewer games.