Spurs had gone 3 league games without scoring this year before Dele Alli struck simply before half-time, delivering serge Aurier’s cross.
But Norwich hit back once Ryan Sessegnon brought down max Aarons within the box and Teemu Pukki laid-off the spot-kick on the far side Hugo Lloris, who made his return after 3 months out with a disjointed shoulder.
Buoyed by that goal, the Canaries took the game to their opponents as they looked to grab what would have been an unexpected but priceless win in their battle against the drop.
Todd Cantwell’s cross was cut out with Pukki lurking unmarked within the box before Cantwell lashed overrun from the sting of the box.
And Tottenham got their second within the closing stages once Alli’s deflected cross coiled to the far post, where Son Heung-min was available to nod in.
Victory – Tottenham’s 1st in the Premier League since beating Brighton on boxing day – means that Jose Mourinho’s side move up to sixth.
Norwich, meanwhile, stay bottom and 6 points adrift of safety.