The 20-year-old striker scored his second goal in as many games on Saturday as Spurs came from behind to draw 3-3 at West Bromwich Albion in the Premier League.
Following loan spells with Leyton Orient, Millwall, Norwich City and Leicester City, Kane now believes that he is ready to become a regular at White Hart Lane.
"I feel I'm good enough to be here and good enough to play for Spurs in the Premier League," he told the Evening Standard. "I hope I've shown that in the last two games and I'm looking forward to the next ones."
Tottenham continue their league campaign on Saturday at home to local rivals Fulham.