The former Spurs striker says the 22-year-old can go on to become the best striker in world football.
Kane has scored 26 goals in 49 appearances in all competitions for club and country so far this season and his tally of 21 is two more than any other player has scored in the Premier League this campaign.
After his two goals in the 3-0 win over Bournemouth at the weekend, Mauricio Pochettino claimed that Kane was already up there with the greatest strikers in world football.
The striker, who has netted three times in his eight senior caps for England, looks a certain bet for Roy Hodgson's Euro 2016 squad, and Cundy claims that he is the greatest forward the country has produced since Alan Shearer.
Cundy, who scored once in 28 league appearances for Spurs in the 1990s, also stated that he believes Kane possesses all the necessary attributes to become the world's best striker.
He told Football Fanzone: "I’m not sure if I agree with Mauricio Pochettino’s claims that Harry Kane is the best striker in the world, but he can go on to be there. He has got everything; he can hold up the ball, run in behind defences, he’s good in the air, has a left foot, he is a powerful runner even if he isn’t the quickest, and is quick with the ball at his feet.
"Most importantly he makes the hardest thing in the game look simple – putting the ball in the net. I’d go as far as saying he is the best striker the country has produced since Shearer.
"Before people get their knickers in a twist, I don’t look at Rooney as a number 9. He is more of a hybrid between a 9 and a 10, so whilst Rooney is the greatest goalscorer the country has seen and the most sensational teen the country has seen, for me Kane is a better striker."
Kane's goals are the main driving force behind Spurs' challenge for a first league title since 1961, with the striker having scored well over a third of the club's goals in the Premier League this season.
He goes into the international break, where he will surely start at least one of the matches against Germany or the Netherlands, having netted braces in both of his last two games.