England worldwide Kane moved to 26 in the top flight for this season - putting him two ahead of Romelu Lukaku in the Golden Boot standings - while Son took his tally to 21 goals in all competitions in the emphatic victory.
The 23-year-old, whose goals along with a double from Korean star Son Heung-min saw this season's runners-up hammer last year's champions Leicester 6-1, added he hoped Hugo Lloris could also win the Golden Glove for the least goals conceded when they round off their league season at relegated Hull.
Barring something drastic happening in the last round of this season's Premier League, it seems Harry Kane is already our 2016/17 Golden Boot victor.
Spurs manager Mauricio Pochettino said he has no concerns about holding on to Kane during the summer transfer window. "We feel so proud of Harry, to score four goals was fantastic", Sport24 quoted Pochettino as saying.
"I think this is my best season, I missed 11 weeks out and to score the most in a Premier League campaign, I worked hard during my injury to ensure I came back in better shape than I started".
Son made the win an emphatic one with the best goal of the game.
England worldwide Kane, who hopes to add to his tally against relegated Hull on Sunday, told Sky Sports: "I've been thinking a lot about getting on the scoresheet this week".
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It was brief, only lasting 30 seconds, but it definitely gave fans a glimpse of what the series has to offer. And then there's the real Kylie. "There is an image I constantly feel pressure to keep up with".
And there was enough time for Kane to take his tally to four and move top of the league's goalscoring charts outright.
"Hopefully next season I can get off in the first game and get a couple of goals and go from there".
A slow start followed by an ankle injury meant Kane started November with just one league goal to his name, while in 2015-16 he did not score in the first six league games. "If they can keep this exciting side together. then they will be even more of a threat next season, assuming they can settle in at Wembley". "To finish second was a good thing now we need to finish the last two games with a good feeling".
"It's a big decision I think for Daniel Levy and the club". Kane currently has 26 top flight goals, now two clear of Lukaku with a match to play. They absolutely dismantled the defending champions on their home patch, winning 6-1.
Kane turned provider with around 20 minutes to play as he picked out Son, who still had work to do as he rounded a defender before curling the ball beyond Schmeichel.
Kane has 32 goals in 37 appearances in all competitions and 26 in only 29 Premier League outings.
It took his tally to 26 for the season - despite missing nearly three months of the season through injury!