Pochettino committed his future to Spurs last month, when he put pen to paper on a contract which will keep him at White Hart Lane until 2021.
The Argentine had been linked with Manchester United, but he signalled his intentions to remain with Tottenham by penning the new deal.
And Kane said: “We all feel we have a great thing going here, all moving in the right direction with a young and hungry squad.
“We want to keep improving, keep getting better and now we’ve had the taste of a Premier League title race we want to do it all over again. I can only see us all improving as people and players so it’s great the gaffer has committed to the club and we all want to push on next season.”
Pochettino has done a brilliant job at Spurs over the two seasons that he has had in charge.
The Argentine inherited a squad from Tim Sherwood which appeared to be heading in the wrong direction, but he has maximised the potential within it.
Pochettino has promoted many of Spurs’ prized prospects and bought astutely to transform the North London side’s fortunes.
Tottenham now appear to have one of the most exciting, young squads in the Premier League, and they are back in the Champions League next season, after finishing in third place.
Spurs have already expressed a desire to continue to compete for the Premier League title in future seasons, and are expected to back Pochettino with funds to improve their squad this summer.