The England captain is only 21 goals away from the 53 that Rooney scored for the Three Lions.
And Kane admits that given he is still very young, he would be gutted if he did not score enough for England to reach that milestone.
He was asked about it by Jamie Redknapp during an Instagram Q&A.
Kane said: "Looking at it now, I'd be disappointed if I didn't get to that amount. I'm a confident guy.
"If I carry on playing for England for the next five or ten years, then, for sure, that's a record I want to be beating.
"I'm confident if I stay fit and healthy then I'll be able to catch that one up."