England striker Kane finishes with 29 league goals, winning the Golden Boot ahead of Everton’s Romelu Lukaku and Arsenal’s Alexis Sanchez.
Dele Alli, Victor Wanyama, Ben Davies and Toby Alderweireld were also on target for the visitors, who were already guaranteed to finish second to champions Chelsea, while Sam Clucas’s second-half strike was a rare highlight for the home fans.
Kane is only the fifth player to win the Premier League’s Golden Boot in successive seasons, following Alan Shearer, Michael Owen, Thierry Henry and Robin van Persie.
Kane had gone top of the scoring chart with four goals against Leicester on Thursday and showed no sign of easing up in his last outing of the season.
The 23-year-old added to his impressive tally with two goals in less than three minutes.
The first was a fierce left-foot drive from 20 yards after Christian Eriksen’s square pass and the second, two minutes and 39 seconds later, capped a lovely passing move.
Eric Dier’s long pass from the halfway line was perfect for Kieran Trippier to cushion into the six-yard box, where Kane was waiting to apply a first-time finish.
The Tottenham supporters went through their songbook, even chanting support for Hull’s ex-Spurs players, Tom Huddlestone, Michael Dawson and Ryan Mason, who is recovering after suffering a fractured skull in January.
Hull fans voiced support for Marco Silva, their popular head coach. "We want you to stay," they sang.
The Portuguese was unable to prevent Hull’s relegation but did his burgeoning reputation no harm with his efforts and approach.
Hull were bottom table when Silva arrived in January but the former Olympiacos and Sporting manager gave them hope -– albeit in vain -- with six wins from seven home matches before a damaging defeat by Sunderland earlier this month.
Relegation was confirmed at Crystal Palace last week and Hull had the look of a weary outfit, while Spurs were energetic. The visitors added their third in first-half stoppage time.
Kane was again involved, threading the ball through to Son Heung-Min. The South Korea international cut the ball back to Alli, who checked on to his right foot and fired his shot low under David Marshall.
It was Alli’s 18th Premier League goal of the season.
