Despite scoring prolifically for Spurs at youth and reserve level, the 19-year-old has yet to break his duck in the Premier League.
However, he intends to change that statistic during his time at Carrow Road.
"I want to make the most of my time here and move on as a player," he told the club's official website. "I'll look to head up to Norwich on Sunday and meet up with the lads for training on Monday.
"I'll be looking to score as many goals as I can for Norwich... that's what I've done and that's how I've built up my career until now, by scoring goals.
"Hopefully now I can take that into the Premier League."
Kane scored nine goals in 27 appearances for Millwall during a loan spell at the Championship club last season.