The England global scored his 101 for the club, helping Mauricio Pochettino's side to climb into the top four of the Premier League and pull seven points clear of the Gunners.
Kane had a couple of half chances during the first half but the Gunners goalkeeper Petr Cech was in sublime form to deny the Premier Leagues leading goalscorer. "In the last three years, I have repeated that he is one of the best strikers in the world", Pochettino said.
Arsenal are now a massive 10/1 to finish in the top-four and their quest to return to the top-ranks of the Premier League look over for another season.
"He's an authentic legend of this club", City manager Pep Guardiola said of the striker who clinched City's Premier League title in 2012 with nearly the last kick of the season. "I'm happy for him and very proud that he is part of our team".
7 - Harry Kane has seven goals in seven Premier League north London derby games - only Emmanuel Adebayor has scored more (8). We missed opportunities on counter-attacks that are not missable at our level.
Wenger Fears For Arsenal's Top Four Chances After Tottenham Defeat, Hails Kane
It might be too early to talk about that right now, given Tottenham's lack of silverware to back it up. We missed opportunities on the counter-attack which are not missable at our level with the final ball.
It took until the half hour mark to register the games first clear cut chance when Kane beat the offside trap to meet Christian Eriksen's whipped cross, but his headed effort flew over the crossbar from just six yards out. Arsenal's only hope left to qualify for the Champions League will be through winning the Europa League.
'This was a game we couldn't afford to lose, ' said Wenger. There was not a single Arsenal player that you could say had a good game, barring Jack Wilshere, who had just a few good moments.
"I think we weren't at the standard required, so it's something to look at for the next game".
Wenger made an attacking change, bringing on Alexandre Lacazette for the ineffective Mkhitaryan and Alex Iwobi for Mohamed Elneny, but it was Jack Wilshere who almost equalised with a curling strike that Hugo Lloris clawed away from the top corner.