The striker became the 17th player to score 100 goals for Spurs when what looked like a cross from the right flew over Jordan Pickford's head and into the far corner on 28 minutes.
It was one-way traffic after Kane's opener.
Christian Eriksen soon made it 2-0 after Pickford parried out Ben Davies' shot and it took less than a minute into the second half for Kane to make it 101 goals and 3-0, angling home as Davies crossed from the left.
We poured forward from there and might have added more goals but for Pickford's saves from Kane and Eriksen and Dele curled just wide late on.