Lucas Moura's outstanding goal helped earn fast-improving Tottenham a third straight Premier League win under Antonio Conte and left Norwich anchored at the bottom of the table.
The Brazil forward found the top corner from 25 yards after a move which saw him beat two Norwich players and play a one-two with Son Heung-min.
Norwich should already have taken the lead but Teemu Pukki fired straight at Hugo Lloris before Moura scored his first Premier League goal since February.
Davinson Sanchez doubled the lead when the Colombian defender lashed home after Norwich failed to deal with a corner before Son made it 3-0 with a neat finish.