Kane’s new deal will run until 2022 and extends his stay at White Hart Lane by a further two years.
Spurs had never considered selling their talisman but uncertainty over negotiations had led to unwelcome speculation about his future.
Kane, however, remains committed to the club he first joined as an 11-year-old and Pochettino believes he could stay at Tottenham for the rest of his career.
“He could be like this type of player for us,” Pochettino said.
“He is English and one of the best strikers in the world and teams, not only in England but in Europe, have seen him and been following him and thinking there would be a possibility one day to take Harry.
“But Harry is very happy here and one more time has shown his commitment to the club and that is fantastic.”
Kane will collect a basic wage of around £80,000 (€94,600 ) a week to put him on a par with Hugo Lloris, the team’s captain and now joint-highest earner.
It ensures the deal does not break Tottenham’s strict wage structure but Kane will receive a number of performance related bonuses which, if activated, will see him move close to the £120,000 (€142,000) a week mark.
The 23-year-old had previously earned around £50,000 (€60,000) a week.
Despite the enormous sums involved, Kane could expect to be paid even more at clubs like Manchester United, Manchester City and Chelsea, but Pochettino says money is not his principle motivation.
“If you ask him he is sure that it is not about money,” Pochettino said.
“He loves Tottenham and he wants to stay here in this project and that is fantastic.
“But it is not about money and for that Harry is very special. He is special on the pitch and special off it.
“The club recognised the value and I congratulate Daniel (Levy), the chairman, too because it was very important for us to make it happen and he has done a very good job with Harry.”
A delighted Kane said: “It’s amazing. Everyone knows how much I love this team and what I feel for this club.
“To sign another contract is a special feeling. We’ve got a great, young squad and the club is moving in the right direction.”
Kane is the latest in a long line of Tottenham players to sign new contracts this year, following the likes of Dele Alli, Christian Eriksen and Eric Dier.
Spurs also want Lloris, whose contract expires in 2019, to agree fresh terms while Jan Vertonghen has held talks about his deal, which runs until 2018.
Pochettino suggested another announcement is near.
“Maybe in the next few days you receive another news but I think it is not Hugo,” Pochettino said.
“Hugo is a very ambitious player but he is very happy here. I can tell you he is very happy and he wants success here and to stay here at Tottenham. That is his ambition.”
Tottenham face struggling Swansea tomorrow as they look to close the four-point gap between them and fourth-placed Arsenal.
Pochettino had hoped Toby Alderweireld would make his long-awaited return from a knee injury but while the defender has trained this week, he is still not fully fit.
“Toby was involved during the week in training,” Pochettino said.
“We are very happy with his evolution but he has a small thing, we are not sure, we need to assess tomorrow (Friday) if he can be available.”
There is also growing concern about Erik Lamela, who is out with a hip problem and has not played since the EFL Cup defeat to Liverpool on October 25.
“I am not a doctor but we are a bit worried about his situation,” Pochettino said.
“His evolution is not how we expect. We need to give him more time to recover. It is a hip problem but I cannot say when (he will be back).”
Meanwhile, Moussa Sissoko has responded well in training after Pochettino admitted earlier this week that the Frenchman has not lived up to expectations since joining the club in a deal worth £30m (€35.5m) in the summer.
“His answer was good in the week,” Pochettino said. “He is training very hard, then it’s up to me to decide whether he is involved or not.”
Ben Davies remains sidelined with an ankle injury but Danny Rose is available again after serving a one-match ban.