Kane tops the Golden Boot charts with 26 goals, two ahead of Everton's Romelu Lukaku with Arsenal's Chilean marksman Alexis Sanchez third, a further goal adrift.
Harry Kane and Son Heung-Min accounted for all of Tottenham's goals on Thursday night.
Vardy saw appeals for a penalty waved away when Alderweireld shouldered him to the ground after an error from Eric Dier, and it got worse for Leicester before the break, Alli clipping the ball over Yohan Benalouane and Son steering a volley into the bottom-right corner to make it 2-0.
Tottenham, already guaranteed to finish second, now have more points than Leicester won the league with last season, but if Pochettino's players were frustrated at falling short in the title race, they haven't let it show. We spoke a lot to try to change that view and that feeling and finish in the best way.
"Of course I'd been thinking a lot about getting on the scoresheet and it's the first time I've scored four goals [in a game]".
"I'm not resting on my laurels, and I'll go to Hull looking to get four more hopefully".
Despite missing three months of the season through injury, Kane has netted 32 times in all competitions.
Kane has now scored 32 in all competitions and 26 in the league.
Only Robbie Fowler, Alan Shearer, Thierry Henry and Robin van Persie have previously scored 25 goals in consecutive seasons in the Premier League. "Maybe we will sell the players that we want to sell. We are building a very exciting project".
Chelsea has taken the trophy off Leicester, which astonishingly won the title last season but collapsed this year and is now 11th.
Safe to say, it will certainly be interesting who comes out on top for the battle of the best striker but Kane is no doubt the heavy favourite.
Leicester manager Craig Shakespeare said he was unsure whether the humbling defeat would affect his chances of staying in the role for next season.
"I'd be lying [if I said I wasn't targeting Lukaku]".