The 22-year-old has already managed over 20 goals this season in the Premier League.
The England striker is only in his second season as a first-team regular at White Hart Lane, but has scored more than 20 goals in the top flight on both occasions, and still has another six games to add to his tally of 22 strikes for the current campaign.
And Klinsmann - who scored 38 league goals during two spells with the Premier League side - believes that he has all of the qualities required to maintain his form for several years to come.
"I'm simply amazed how consistent Harry at still such a young age performs week in, week out. His composure with the ball, his vision for his team mates, his decision making is almost always spot on," he told the club's official website.
"And the goals he's scoring are of the highest quality."
While Kane's record speaks for itself, some doubted at the beginning of this season whether he would be able to hit the heights of last year, especially as the weight of expectation was piled on top of him this time around.
But the fact that a World Cup winner has praised him so highly proves that he has the talent to become one of the most ruthless goalscorers the Premier League has ever seen.
He has already surpassed last season's goals tally, and while Spurs' tremendous performance in the league may see more pressure put on him to help the club remain near the summit, Klinsmann's assessment of his ability suggests that he will have no problem living up to the expectations.