Goal revealed in June that Manchester United were planning a bid worth £50 million for the forward after he netted 31 goals in all competitions last term.
But Pochettino insists that the player is happy at White Hart Lane and is ready to give his all as Spurs look to break into the Premier League's top four.
"He’s excited to start the season with us," the Argentine coach told reporters. "Any doubts about his commitment are gone.
"He is delighted to stay with Tottenham. He is a big supporter of the club. I think he is very happy and we are very happy he is with us."
Kane is set to come under intense scrutiny this season as he looks to repeat the form that saw him win the PFA Young Player of the Year and emerge as one of the brightest attacking talents in Europe.
And Pochettino feels the 22-year-old can handle the weight of expectation and expects him to help lead his young squad onto better things.
"He can manage this pressure. He is young but he is very mature. He is in a very good way to become one of the best strikers in the world.
"If you can do it in England and Europe, you are doing it in the best competitions in the world.
"I think that we have very ambitious players now, the younger ones in the group, like Harry. We need to keep this mentality. We try to build a very strong group for the next few years to try and achieve important things."