Mousa Dembele celebrates scoring for Spurs on his debut for the London club
Unbeaten West Bromwich Albion recorded their best start to a Premier League season and ended Everton's 100% winning run in the process at The Hawthorns.
Baggies striker Shane Long swept in the close-range opener from substitute Osaze Odemwingie's low left-wing cross, reports the BBC.
And Gareth McAuley's thumping header sealed victory as Everton lost for the first time in 12 top-flight games.
Top scorer Marouane Fellaini slashed the Toffees' best chance wide just moments before striker Long's opener.
And at White Hart Lane, Robert Snodgrass scored a dramatic late equaliser as Norwich consigned 10-man Tottenham to their worst start to a Premier League season for four years.
Mousa Dembele had put the hosts on course for their first league win of the season with a goal on debut.
But, with time running out, the Norwich midfielder found the space to unleash a low left-foot shoot that flashed beyond Spurs goalkeeper Brad Friedel.
Substitute Tom Huddlestone was shown a straight red card in the 90th minute.
Boos echoed around White Hart Lane at the final whistle, with Andre Villas-Boas still without a competitive win as Tottenham manager.
In other matches, West Ham hammered Fulham 3-0, while Swansea and Sunderland and Wigan and Stoke games ended 2-2.
Champions, Manchester City face QPR in the late kick off.