Dominic Calvert-Lewin's superb second-half header proved the difference as Everton claimed a 1-0 victory at Tottenham Hotspur.
Richarlison missed Everton's best chance of the first half when he fired wide from a tight angle while Jordan Pickford saved from Spurs midfielder Dele Alli and debutant Matt Doherty at the other end.
The decisive moment came in the 55th minute, with Calvert-Lewin powerfully meeting Lucas Digne's free-kick.
Richarlison twice shot wide and Hugo Lloris denied Calvert-Lewin a second as the Toffees looked to double their advantage.
But a single goal was enough to secure Everton's first league win over Spurs since December 2012 and hand Spurs head coach Jose Mourinho his first opening-matchday defeat in of a league season at the 19th time of asking.
See: Spurs report | Everton report
Next fixtures
Spurs: 20 Sep v Southampton (A)
Everton: 19 Sep v West Brom (A)
