The England international has also admitted that Arsenal have some great players.
"They’ve got some great players,” Kane told The Mirror. “I’m sure they will want to do better than third place and they are still in a position to do that.
“Obviously they are only three points behind, but there are so many games left. I’m sure they will be looking at trying to catch us and Leicester.”
Tottenham and Arsenal are second and third respectively in the Premier League table at the moment.
The two North London sides have a good chance of winning the league title this season, but both need to start gaining some momentum.
Leicester City are five points clear at the top of the league table, and they are currently the favourites.
Arsenal have some genuinely brilliant players, such as Mesut Ozil, Petr Cech and Alexis Sanchez, but as a team they are not playing to their full potential.
Meanwhile, former Tottenham midfielder Darren Anderson has told BT Sport that Mauricio Pochettino’s side can win the league title this season.
“It has been a tough week, a dodgy one, but it has been a great season,” said Anderson (see video below). “I think they still have got a great chance, would hate to come second in the Premier League and be behind Leicester City of all teams.”
Tottenham will return to Premier League action on Sunday evening when they take on Aston Villa away from home at Villa Park.