Matt Ritchie fired the hosts ahead inside 60 seconds, but we responded eight minutes later when Harry Kane was brought down in the area by Cherries goalkeeper Artur Boruc and the striker converted the resulting penalty.
Mousa Dembele and Erik Lamela both found the target to put us 3-1 up by half-time, with Kane scoring twice more after the break to complete his hat-trick.
AFC Bournemouth (4-2-3-1): Boruc; Francis, Cook, Distin, Danies; Surman, Gosling; Ritchie, King (O’Kane 61), Pugh (Smith 75); Murray (Kermogant 67). Substitutes (not used): Federici, Rantie, Stanislas, Bennett.
Spurs (4-2-3-1): Lloris (c), Walker (Trippier 82), Vertonghen, Alderweireld, Rose; Dier, Dembele (Mason 67), Alli, Eriksen, Lamela; Kane (Clinton 85). Substitutes (not used): Vorm, Wimmer, Onomah, Townsend.
Goals: Bournemouth – Ritchie 1. Tottenham – Kane 9 (pen), 56, 63. Dembele 17, Lamela 29.
Yellow cards: Tottenham – Rose 31.
Referee: Roger East.