Kane then hammered twice in the closing stages to clinch the dominant win for Mauricio Pochettino's swashbuckling side, goal.com reported.
As for Craig Shakespeare and Leicester, despite the result, they can look back on a satisfying second half of the season.
Perhaps the previous campaign's failed chase of Leicester City provided added motivation for Spurs. It cannoned off Ndidi's leg and fell kindly for Chilwell who drilled the ball home.
Son took goalkeeper Kasper Schmeichel out of the equation before laying the ball off to the England global to fire home.
With 59 minutes gone they found a lifeline. Spurs' keeper, Lloris, had rushed out of his box to clear the ball.
Hope of a comeback lasted barely four minutes, however.
But Tottenham reasserted their authority as Kane nodded home from close range following Victor Wanyama's header across goal, while another incisive team move ended with Son curling low beyond Schmeichel from outside of the penalty area.
"Going into the Leicester game two behind, I was hoping to get one or two and keep myself in the race for Sunday so to get four and win 6-1 - I couldn't have dreamed of it".
Spurs finish at relegated Hull City with Kane now red-hot favourite retain his crown as the league's top scorer.
Kane has attracted interest from Manchester United in the past, with reports cited by the Manchester Evening News in March suggesting that Jose Mourinho had identified the 23-year-old as a back-up target in the event that he fails to sign Antoine Griezmann from Atletico Madrid.
Harry Kane has scored almost a goal a game for Tottenham Hotspur this season.
Kane's opener was set up by Son Heung-min, who scored Tottenham's other two goals against deposed champion Leicester to become the highest-scoring South Korean in a single European season.
It took his tally to 26 for the season - despite missing nearly three months of the season through injury!
"I am in the driving seat but there's still one more game".
The goal, Son's 20th of the season, marked the first time three Tottenham players had passed that mark in a season with Alli on 21 and Kane now netting 32.
He ravaged Leicester in the 6-1 drubbing on Thursday night and Pochettino reckons Strachan should be having sleepless nights ahead of the Battle of Britain showdown.
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