The England worldwide bagged a brace against Everton to take his tally up to 98 league goals in 135 appearances.
"Harry is fantastic and I congratulate him one more time", said Pochettino after Kane equalled and then surpassed Teddy Sheringham's previous record of 97 Premier League goals for the north London club.
England striker Kane has now scored 20 times in the Premier League this season, three more than any other player, and has hit 28 goals in 28 appearances in all competitions.
Son Heung-min who was also on target in the game also became the second Tottenham Hotspur player to score in five consecutive Premier League home games.
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The visitors thought they had broken the deadlock in the 22nd minute when Rooney diverted Tosun's header past Hugo Lloris from close range but celebrations were cut short by the offside flag.
Chelsea did little to take the spotlight away from under-fire manager Antonio Conte in a goalless draw with Leicester City on Saturday while Harry Kane broke another record after a brace in Tottenham's 4-0 hammering of Everton. "With his mentality and his professionalism he can achieve all that he wishes. He is always thinking to try to improve, improve, improve, score goals and improve for the team".
However, Everton were managed by Ronald Koeman for that fixture and things have since improved under the guidance of Sam Allardyce, with the Toffees putting together an unbeaten run in his first seven games in charge. However, Watford striker Troy Deeney admitted that had the VAR system been in operation "we probably wouldn't have got it". The player is one of the Spurs' stars who are apparently unhappy with the current wage structure at the club, but Tottenham still expect that he will extend his contract.
"It was a shock second-half performance". He could have added more to tally too, having been denied by the woodwork and goalkeeper Pickford. In this way he will break all the records in the Premier League.