The England striker traded goals with Heung-Min Son before smashing home twice in the closing minutes, completing his second hat-trick against Leicester - the first coming in March, 2015 - before making it four in a game for the first time as we won 6-1, equalling our all-time league away victory and eclipsing our previous best in the Premier League - 6-2 against Wimbledon in May, 1998, and 5-1 at Hull City in August, 2009.
It was the second time we've scored six this season after our 6-0 home win over Millwall in the FA Cup and means Kane is now on 32 goals for the campaign in all competitions. His 26 in the top flight mean he's now two ahead of Everton's Romelu Lukaku in the race for what would be a second consecutive Golden Boot, in spite of missing a combined total of 11 weeks of the campaign with two ankle injuries.
Son's first goal shortly before half-time, meanwhile, took the South Korean international star's tally to 20 for 2016-17, meaning this is the first time we've ever had three players reach the 20-goal mark in one season, with Kane and Dele Alli having also eclipsed that total. He ended the night with 21.
Leicester had made it 2-1 through Ben Chilwell in their best spell of the game shortly after half-time, but we were always in control as, despite already being assured of a second place finish, we pressed high at every opportunity to reach 83 points - two more than the Foxes won the division with this time last year.
The assist for Harry's hat-trick goal came from debutant Filip Lesniak, the Slovakian youth international midfielder prolonging his 21st birthday celebrations from Sunday by replacing Mousa Dembele for the last five minutes.
Mauricio Pochettino made two changes to the team that started against Manchester United on Sunday. Moussa Sissoko came in for Kieran Trippier - sidelined along with Kyle Walker - and operated at right wing-back while Mousa Dembele was back in midfield for Christian Eriksen, who was on the bench. Lesniak was joined among the substitutes by fellow academy player Samuel Shashoua, 18, for the first time.
CHANCES: SON, SISSOKO AND KANE GO CLOSE - 15-21mins
Hugo Lloris made an important save from Jamie Vardy early on but the chances for us kept coming with Son played in down the right channel, only to skew his shot over the bar, Sissoko whistling a shot just over and the Kane curling just off target from the left side of the box.
GOAL: LEICESTER 0-1 SPURS - HARRY KANE - 25mins
The deadlock was finally broken when Kane capped off a counter-attacking move ignited by Toby Alderweireld. The centre-back’s long ball over Leicester’s back line found Son down the right, who advanced to the six yard box and cut back for Kane to finish. Our lead was nearly doubled shortly after when Dele nodded Ben Davies’ deflected cross goalwards, but Leicester goalkeeper Kasper Schmeichel was quick to get down to his right to deny the midfielder.
GOAL: LEICESTER 0-2 SPURS - HEUNG-MIN SON - 36mins
Son and Dele made sure it was 2-0 before half-time when the pair combined in style for a fantastic goal. Dele, on the edge of the box, had the composure and creativity to chip the ball over Yohan Benaloune, allowing Son to turn and steer home on the volley. Dele was playing those deft chipped balls for much of the night, causing the Foxes all manner of problems.
Above: Ben Davies celebrates with Heung-Min Son after his second goal.
GOAL: LEICESTER 1-2 SPURS - BEN CHILWELL - 59mins
Leicester clawed a goal back when Lloris rushed out to tackle Vardy when the striker was played through and although he won the ball, it eventually made its way to Ben Chilwell in the box. He was able to find the net, in spite of the retreating Lloris being joined by Eric Dier and Jan Vertonghen in front of goal.
GOAL: LEICESTER 1-3 SPURS - HARRY KANE - 63mins
The Foxes had enjoyed a solid start to the second period after changing tactics at the break, but our comfortable lead was regained when Alderweireld’s cross from the right was headed back into the mix by Victor Wanyama and Kane simply nodded home from close range.
GOAL: LEICESTER 1-4 SPURS - HEUNG-MIN SON - 71mins
Kane’s header seemed to knock the life out of Leicester and Son made it four with a spectacular goal. Sissoko burst down the right and gave it to Kane, who played the ball to the South Korean international on the edge of the box. Still with a lot to do, the forward dragged the ball back with quick feet to win space outside a congested area and curled a guided, low strike past Schmeichel.
GOAL: LEICESTER 1-5 SPURS - HARRY KANE - 89mins
Kane fired just wide on 84 minutes and substitute Vincent Janssen bundled in from an off-side position before Kane completed his treble. Lesniak, the grandson of Slovakia national team boss Jan Kozak, advanced from midfield and passed to the striker, who blasted in from 18 yards.
GOAL: LEICESTER 1-6 SPURS - HARRY KANE - 90+2mins
Kane's perfect night was completed two minutes into stoppage time when Davies chopped the ball across the 18-yard line from the left flank and Kane scored from a similar position to his third goal, Schmeichel unable to save low down.
MAURICIO POCHETTINO SAID
"It was a fantastic performance and I’m very pleased. The attitude was good and (the players) have made us very proud. It’s very good to finish the season in this way. Now we play another game, but this was a fantastic performance. (Harry Kane) is fantastic, one of the best strikers. It’s difficult to find another word, it’s unbelievable what he’s doing and I’m so pleased for him. We all know he’s a great professional and he deserves all that happens."
HARRY KANE SAID
"It’s incredible, the team drives me on and I just want to get better and better. That’s what the manager wants, he never lets us rest on our laurels, he wants us to keep improving and keep getting better. Jesus (Perez, assistant manager) said ‘let’s get a few goals’ and to go out there and do it is very pleasing but, again, big thanks to the team because without them, I wouldn’t be doing what I’m doing."
Leicester (4-4-2): Schmeichel (c); Simpson, Benalouane (Gray 66), Fuchs, Chilwell; Mahrez, Ndidi, Amartey, Albrighton; Okazaki (Slimani 46), Vardy (Musa 78). Substitutes (not used): Zieler, Wasilewski, Kapustka, Moore.
Spurs (3-4-2-1): Lloris (c); Alderweireld, Dier, Vertonghen; Sissoko (Nkoudou 90), Wanyama, Dembele (Lesniak 85), Davies; Son (Janssen 77), Dele, Kane. Substitutes (not used): Vorm, Wimmer, Eriksen, Shashoua.
Goals: Leicester - Chilwell 59; Spurs - Kane 25, 63, 89, 90+2, Son 36, 71.
Yellow cards: Leicester – Albrighton 65, Gray 76, Simpson 81; Spurs – Sissoko 65.
Referee: Michael Oliver.
Our final game of the Premier League season sees us travel to relegated Hull City on Sunday afternoon. We beat the Tigers 3-0 at White Hart Lane in December.