Spurs fans were back inside their new stadium for the first time in 277 days and were given something to celebrate after just 13 minutes.
Arsenal got their foot on the ball and dominated possession for the rest of the first half.
But it was Spurs who were able to hit the scoreboard as Son repaid the compliment by setting up Kane, who unleashed an unstoppable finish off the underside of the crossbar for his 11th north London derby goal.
The hosts were comfortable with their lead in the second-half despite Arsenal picking up their intensity.
Jose Mourinho‘s side return to first place on the table, while the Gunners languish in 15th position.
Speaking after the game, Mourinho told reporters: “For me the performance was very, very good.
“It was a very complex game for us. In the first half we put ourselves in a very good place and in the second half we accepted what they did to us.
“We defended very well and comfortably. Great mentality and effort.”