Spurs dominated the side that pipped them to the title last season by scoring six goals in total, with Son Heung-min getting the other two on the night at the King Power Stadium.
The South Korean's hard work was rewarded ten minutes after Kane's goal, and his work rate and movement was rewarded with a dinked assist from Dele Alli, with the former Leverkusen man doubling Spur's lead, and bringing up 20 goal for the season himself.
Kane completed his hat-trick with two low strikes from range to leave the scores at 6-1 and secure second place for Tottenham.
Leicester City: Schmeichel; Simpson, Benalouane, Fuchs, Chilwell; Mahrez, Amartey, Ndidi, Albrighton; Okazaki; Vardy.
"It is very clear we will keep the players we want to keep and we will maybe sell the players we want to sell".
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.
It took his tally to 26 for the season - despite missing nearly three months of the season through injury!
Kane doubled his tally four minutes later, heading home after Victor Wanyama had headed Toby Aldwerweireld's cross-back across goal.
Youthful duo Filip Lesniak and Samuel Shashoua have been named in the Tottenham squad for their Premier League clash against Leicester on Thursday night - and fans have mostly reacted with delight to their selections. - Kane has now scored more Premier League goals in 2017 than any other player (18). I'm not resting on my laurels, and I'll go to Hull [on Sunday] looking to get four more hopefully.
Mauricio Pochettino's side came up short in the title race for the second successive year after Chelsea repelled their determined challenge in the same way Leicester City frustrated them 12 months ago.
The Spurs forward now sits two goals ahead of Romelu Lukaku after playing his part in a devastating performance from the North Londoners, who now sit on 80 points in the standings. "But it's true that Harry Kane is our main striker and one of the best in the world", he said. Leicester and Tottenham both play their penultimate match of the season, in a match that has nothing at stake. To be fair to him and the team, it's a very good collective effort throughout the whole season but we feel so proud of Harry.
Tottenham are the only Premier League team undefeated at home this season. Leicester meanwhile, may now have some doubts over the capabilities of Craig Shakespeare, after such a humbling loss. After a disgusting start to the season, the former champions have a chance to make it into the top 8, providing they win their last 2 matches.
"I have to take some responsibility for that after changing the formation. if you get beat 6-1, there's no positives".