Hart, 33, has signed a two-year deal with Spurs after leaving the Clarets when his contract expired on 30 June.
"I feel I've got a lot of quality and a lot in the bank," said Hart.
Having won the last of his 75 England caps in November 2017, he lost his Burnley place to Tom Heaton midway through the first season of a two-year deal and then spent 2019-20 on the bench behind Nick Pope.
"I'm here to help the team any way I can. Be it on the field, off the field, I'm here to try and push the club forward," Hart added.
"No getting away from it, it has been a couple of difficult years for me on the football field - but I feel I've got so much more to give."