Micky van de Ven Double Ends The Toffees' Run at Brand New Home Ground
The Dutch defender emerged as the initial backline player to net two goals in a English top-flight match for Spurs since the Belgian defender in spring 2013.
Match summary
Micky Van de Ven heads home twice in opening period
Everton's Jake O'Brien has goal disallowed after VAR review
Senegalese midfielder scores third in 89th minute
The defeat is Everton's initial at their new ground
The Tottenham defender scored on two occasions as Tottenham prolonged their unbeaten run on the road in the Premier League and delivered the Toffees their first defeat at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having departed their historic home behind after 133 years at the end of the previous campaign.
But Tottenham's leader Van de Ven pounced twice from corners in the opening 45 minutes to put their impressive record at jeopardy, and they were unable to turn it around before the midfielder - set up by ex-Everton forward Richarlison - nodded in a final goal to seal the victory.
Jake O'Brien believed he had equalized the scores a short while after the defender's opener, glancing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, in the meantime, missed a number of chances, while Vicario made a succession of excellent stops to ensure Tottenham went five matches on the road unbeaten in the English top flight.
But the video assistant referee intervened, advising Craig Pawson to review the goal on the pitchside monitor and the official decided that Jack Grealish and the attacker were in offside positions and had interfered with the Tottenham goalkeeper.
This victory elevates Thomas Frank's team up to third in the division, a handful of points off north London rivals and leaders Arsenal.
The Merseyside club remain in 14th position and are six points clear of the drop zone.
Spurs breakdown: Van de Ven fulfils duties at each end of the field
After a uninspiring weekday performance in the European competition against Monaco, where they managed a only attempts on target, the manager opted for the French striker in attack instead of former Toffees player the Brazilian.
The summer signing was failed to make much of an impact before being substituted for the substitute after 60 minutes on the pitch, but it emerged he proved unnecessary in the end.
Centre-back the Dutchman converted into an attacking force to be reckoned with.
Tottenham's opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball toward the six-yard box for an free Van de Ven to head home.
And the captain - filling in as captain in the Argentine's absence - added his next goal in added time as he rose above Jordan Pickford to nod in.
Van de Ven was just as impressive in defensive duties, combining well with his defensive colleague as the duo dealt superbly with the 34 crosses thrown their way by the opposition.
Everton analysis: Toffees lacking striker's instinct
Everton's recent stadium had been a fortress, but it appears the novelty may have worn off somewhat and supporters headed to the exits after the midfielder's final goal for Spurs.
The end in Everton's winning streak at home won't be a major concern for David Moyes, but their attacking woes are.
The forward and the other striker - the Everton's pair of recognised centre-forwards - had netted only a single goal between them before Sunday's outing.
And they were unable to contribute to that poor record on a wet and gloomy evening on in Liverpool.
Beto's form was epitomized when he opted to bicycle-kick a clear chance from close range, even with having room and time to readjust for a simpler shot that would have tested Vicario.
The substitute, as well, was unable to influence the game after coming on for the starter in the 65th minute.
It wasn't for a shortage of opportunity. The majority of Everton's offensive moves came through the winger and the forward, who relentlessly whipped threatening crosses into the Tottenham penalty area.
What next for both teams?
Everton: Moyes' men travel to the Stadium of Light in the top flight on early November at 20:00 GMT.
Spurs: The London club go to Newcastle's ground on late October for their fourth-round Carabao Cup tie against the Magpies.