Harry Kane fired us ahead from the penalty spot on 26 minutes after being brought down by visiting goalkeeper Declan Rudd, with the same player making it 2-0 with a good finish from the right side of the box three minutes before half-time.
Tom Carroll rounded off the scoring with his first Premier League goal 10 minutes from time, although there was still time for birthday boy Hugo Lloris to produce a fine double save to keep his clean sheet intact.
Spurs (4-2-3-1): Lloris, Walker, Vertonghen, Alderweireld, Davies, Dier, Dembele (Chadli 86), Lamela, Alli (Son 78), Eriksen (Carroll 72), Kane. Substitutes (not used): Vorm, Rose, Trippier, Bentaleb.
Norwich (4-4-1-1): Rudd, Martin, Bassong, Bennett, Olsson, Redmond, Tettey, Mulumbu (Howson 73), Brady (Mbokani 78), Odjidja-Ofoe (Dorrans 73), Jerome. Substitutes (not used): Ruddy, Whittaker, Hoolahan, Lafferty.
Goals: Spurs - Kane 26 (pen), 42, Carroll 80.
Yellow cards: Spurs – Dier; Norwich – Tettey, Howson.
Referee: Mike Jones.