Kane has promised Tottenham have learned from last season when they slipped up in the run-in and Leicester won the title at a canter.
Tottenham can move to within a point of the top if they win at West Ham on Friday night – and Chelsea do not play until Monday when they entertain struggling Middlesbrough.
Spurs hot-shot Kane said: “It is good to go first – we have got to try to drop the gap to one point and see what happens.
“We knew what it was like last year with Leicester playing before us. It is difficult. It is good to try to play first and try to put that pressure on, so it will be good to play on Friday night.
Pochettino and Wenger react to Spurs 2-0 Arsenal
“It is another tough game away from home, but hopefully we can get that win, put that pressure on and wait and see.
“We have to learn from what happened last year and we are doing that. We have still got four games left so we are not there yet but it was a good performance against Arsenal, especially after watching Chelsea win.
“The most important thing for us was putting pressure back on Chelsea. It was a big game for us and watching them win meant we knew we had to win as well. And we did it.
“It could have been difficult for us but from the first minute we played in the right manner: we played fast, we pressed them, we made it difficult for them and created chances and on a different day we could probably could have scored a couple more.
“We have got four games in front of us and we feel like we can win all four. We feel we can beat anyone. It was a very mature performance against Arsenal and we have just got to continue that for the rest of the season.”
Tottenham won the last North London Derby at White Hart Lane in very comfortable fashion and that will be difficult for Arsenal fans to swallow as it also means Spurs will finish above their neighbours for the first time since 1995.
But Kane maintains that with Mauricio Pochettino in charge and the club’s new £800m stadium taking shape that it will not be a one-off and Tottenham are ready to dominate North London for years to come.
Kane added: “It was an added bonus that it was the last derby game at the Lane and we have managed to finish above Arsenal as well. It was good for the fans and good for the club but we are thinking about trying to get that title.
“We have just got to keep building. I think we have had a better season than last year and again whatever happens this year, next year we have got to be even better. I think that is important.
“We are on 77 points which is seven more than what we finished on last year and we have four games to go. We have to finish strong.
“Every time we drive in as a squad we can see how big that stand in the new stadium is getting. Everything is built up and it shows the way the club is going. We have a fantastic manager, one of the best in the world.
“We have a great squad, a real togetherness and we are going in the right direction. We have to make sure we continue that, don’t get carried away – we have got four games left that we have to try to win. But these are exciting times.”