Dele Alli gave us the lead less than two minutes into the game, with Harry Kane doubling our advantage on the half-hour mark from the penalty spot after Alli was upended by Sebastien Bassong.
Kane rounded off the scoring in the 90th minute.
Norwich (4-4-1-1): Rudd; Ivo Pinto, Klose, Bassong, Olsson; Howson, Tettey (c), Mulumbu, Jarvis (Jerome 70); Naismith (Odjidja 74); Dieumerci Mbokani. Substitutes (not used): Ruddy, Martin, Hoolahan, Redmond, Bennett.
Spurs (4-2-3-1) Lloris (c); Walker, Alderweireld, Wimmer, Rose; Dembele, Dier; Alli (Chadli 46), Eriksen (Lamela 90+1), Son (Carroll 70); Kane. Substitutes (not used): Vorm, Davies, Trippier, Bentaleb.
Goals: Spurs – Alli 2, Kane 30 (pen), 90.
Yellow cards: Norwich – Bassong 29, Tettey 89. Spurs – Alderweireld 58, Rose 88.
Referee: Kevin Friend.