On an afternoon when Hull supporters plainly made their feelings known about their desire for Marco Silva to remain at the club, Kane - fresh from scoring four goals at Leicester on Thursday night - stole the show again to seal a second consecutive golden boot in fine style as the Londoners took control.
Kane struck twice early on and added his treble clincher on 72 minutes - to take his league tally to 29 -with Dele Ali and Victor Wanyama also netting in a fine Spurs performance, while Sam Clucas scored a second-half consolation for Hull.
Ben Davies blasted home a sixth and there was still time for Toby Alderweireld to add a late seventh.
Hull made six changes from the side whose relegation was confirmed at Crystal Palace seven days earlier, with rare starts handed to academy duo Josh Tymon and Jarrod Bowen.
It was Tymon’s first start since February 1, while Bowen was handed his maiden Premier League appearance from the off, with Hull’s bench including youngsters Daniel Batty and Greg Olley.
Spurs, unbeaten in nine games against Hull, with their last defeat in East Yorkshire coming way back in 1977, made two changes with Kieran Trippier and Christian Eriksen coming in for Moussa Sissoko and Mousa Dembele, who reverted to the bench.
The game may have been a dead rubber, with Hull consigned to the Championship and Spurs finishing in the runners-up spot, but no-one had clearly told that to Kane.
A quick-fire double blast in the space of two minutes increased his advantage over Golden Boot rivals Romelu Lukaku and Alexis Sanchez as the Spurs goal machine hit a predatory brace - and so nearly followed up with a hat-trick goal not longer after.
The game started with Hull fans airing a rendition of ‘Marco Silva, we want you to stay’ but it was the Spurs contingent in full voice when Kane fired home a clinical opener with a low 20-yard drive after being supplied by Eriksen on 11 minutes.
Two minutes later, Kane doubled his money with another unerring finish, emphatically converting from close range from Kieran Trippier’s fine cross on the right, which arrived after a lovely floated ball from Eric Dier.
It was easy for Spurs and Kane went desperately close to recording one of the most remarkable trebles in Premier League history, when he rolled the ball wide when well placed after good work from Dele Ali.
Second best and chasing shadows against a classy Spurs side, it was a tough first period for Hull, with recalled David Marshall having to be alert to smartly turn away an effort from Heung-Min Son after more slick play from the visitors.
Moments before the break, Spurs crowned a cakewalk of a half with a third after Oumar Niasse was disposessed in midfield, with Kane supplying Son, whose cutback was effortlessly stroked home by Alli.
The second half was a case of damage limitation for Hull, with Marshall doing well at his near post to deny Son, with Spurs looking a side capable of moving through the gears at will.
Hull did produce one moment of threat with excellent covering defending from Toby Alderweireld denying Sam Clucas in front of goal after an inviting cross from Niasse, but it was an effort in exclusivity.
A stinging shot from Niasse then fell not too far over as Spurs eased off a notch before Hugo Lloris was forced to make his first save of the day, turning away a fine strike from substitute Kamil Grosicki, who pepped up the hosts after coming on at the interval.
Lloris was powerless soon after to prevent Hull pulling one back through Clucas’ deflected low shot after Niasse back-heeled the ball into his path after failing to unleash a shot following good work by Grosicki.
Suitably peeved, Spurs soon added a fourth with normal service resumed when Wanyama headed in Eriksen’s free-kick at the back post before Kane secured the match ball, firing low past Marshall after being sent clear by Alli.
Marshall denied Moussa Sissoko, but was powerless to prevent Davies from blasting in a sixth as the visitors enjoyed an end-of-season party, with Alderweireld adding a seventh when he turned in Kieran Trippier’s cross.
Hull City: Marshall; Ranocchia, Dawson, Davies (Grosicki 45); Elabdellaoui, Huddlestone, N’Diaye, Clucas, Tymon (Robertson 73), Bowen (Elmohamady 72); Niasse. Substitutes unused: Jakupovic, Mbokani, Batty, Olley.
Tottenham Hotspur: Lloris; Trippier, Alderweireld, Vertonghen, Davies; Dier (Dembele 73), Wanyama; Eriksen, Alli (Sissoko 73), Son; Kane (Janssen 79). Substitutes unused: Vorm, Wimmer, Lesniak, Nkoudou.
Referee: A Marriner (West Midlands).