Kane has been the Premier League's top scorer for the past two seasons, but believes he needs to perform on the continental stage to be counted among the game's best.
"I have said before I want to break into that world-class bracket," Kane said.
"To do that you have to play well in the Champions League.
"The Champions League is a big stage, all the best players in Europe, if not the world, are here," he said.
"To be the best you have to produce your best against the best. I have six group games to prove that by hopefully scoring as many goals as possible and performing well."
Spurs flopped on their return to the Champions League last season as they failed to get out of their group.
Manager Mauricio Pochettino hopes that experience will help them fare better this time.
"Last season was our first experience of the Champions League," Pochettino said. "Previously we play Europa League, for 98, 99 percent of the players, and for myself too.
"That experience is important. We know very well what the competition demands from you, and I think that is so important.
"It was a very painful experience because we could not be at the level we should have been but today, it's not an excuse. We know that it will be very tough. We need to be ready to compete at a higher level."
Kick-off is at 20:45 SA time.