Three minutes later it was 2-0.
Not only did Mousa Dembele score his first goal of the season, but substitute striker Vincent Jansson netted in stoppage time for his first from open play in the league since joining Tottenham past year.
But within three minutes of the restart it was 3-0 as Kane made space inside the area after an Alli pass before striking low to put the outcome beyond any doubt with his 20th league goal of the season.
Leroy Sane finished a flowing move to make it two in the 77th minute and Sergio Aguero headed home three minutes later as City moved one point above Liverpool, who travel to West Bromwich Albion on Sunday.
Son had a good game for the hosts and deserved a second when on 82 minutes he drove inside the box, only for a good block from a sliding defender to deflect the shot just wide of the post.
This result again sees Spurs close the gap on title leaders Chelsea, who play Manchester United tomorrow afternoon, to four points.
Bournemouth became the 12th consecutive side to leave White Hart Lane empty-handed as Harry Kane hit the 20 league goal mark for the third season in a row with his side's third.
Boat Race expected to go ahead after wartime bomb found in Thames
Victory, which follows last year's defeat, was also Oxford's seventh from 10, and reduces their overall deficit to 82-80. Police patrol the area, prior to the Men's Boat Race on the River Thames, in London., Sunday April 2, 2017 .
With just seven games remaining, Chelsea are looking to land the knockout blow as they slug it out with second-placed Tottenham in the fight for Premier League supremacy.
"I don't know. I've got no idea - I know as much as what you saw", Howe was quoted as saying of the injury by the Evening Standard.
Bournemouth are coming into a third straight game against a top four side.
Mauricio Pochettino's side has a tough run-in with games against Arsenal, Manchester United and Leicester in the final six games. But they are still the favourites to win the Premier League.
And moments later Alli was also given a break as he was replaced for the closing stages by Moussa Sissoko before Vincent Janssen came on for Eriksen.
Tottenham will be favorites to win this game against Bournemouth and it would be a major shock if they did not take all three points against the much smaller club who now sit in 15th place in the league just above the relegation zone.
Janssen then rounded off the win in stoppage time.
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