The return of the England skipper after missing the last two games with an ankle injury was earlier than expected and Tottenham’s talisman was back in the groove quickly.
After missing a few opportunities in the first half, in the 54th minute, Kane struck to move joint second alongside Bobby Smith with 208 goals on Tottenham’s all-time scoring list.
Four minutes later, after a good run by Lucas Moura, Son Heung-min drove in Tottenham’s second.
Tottenham climbed up to a seventh-place with 36 points from 22 games, until their match against bottom club Sheffield United later, above Chelsea on goal difference.
With 12 points from 23 games, 11 points behind 17th-placed Burnley, Sam Allardyce’s West Brom is 19th and their chances of avoiding relegation are looking forlorn.
Both Kane and Son have scored 13 league goals this season and have again shown Tottenham how invaluable they are.
There were concerns that the striker could be facing a long spell on the sidelines when Kane had to be replaced at halftime in the defeat by Liverpool, and the Spurs gloom deepened with a toothless loss to Chelsea in midweek.
But his return proved a massive boost as Tottenham delivered a dominant display to revive their bid for the top four, although against struggling opposition.
“We’ve had a couple of bad results, so getting back to winning ways was very important,” Son said.
Harry is one of the world’s best strikers, so we missed him, even though it was only a few games, and I’m glad he scored again. I miss him, too.
It took a little while for Kane to find his selection.
In the first half, he had two opportunities in quick succession but unusually failed to reach the goal with either.