Micky van de Ven Double Ends The Toffees' Unbeaten Streak at New Home Ground
The Dutch defender emerged as the first defender to net two goals in a English top-flight game for Tottenham since the Belgian defender in March 2013.
Match summary
The Spurs defender nods home twice in opening period
The home side's Jake O'Brien has goal disallowed after video check
Pape Matar Sarr scores third in dying moments
The defeat is the Merseyside club's first at Hill Dickinson Stadium
Micky van de Ven found the net on two occasions as Spurs prolonged their unbeaten run in away games in the top division and handed Everton their initial loss at Hill Dickinson Stadium.
The Toffees were undefeated in their five previous fixtures at their recently opened stadium at the dockside location, having left Goodison Park behind after 133 years at the end of the previous campaign.
But Spurs captain Van de Ven pounced twice from set-pieces in the first half to put their strong form at risk, and they were unable to turn it around before the midfielder - assisted by former Toffees attacker Richarlison - nodded in a third to seal the victory.
Jake O'Brien believed he had levelled the scores a short while after Van de Ven's first goal, glancing a powerful header past Guglielmo Vicario from an set-piece.
The Portuguese striker, in the meantime, failed to convert a handful of opportunities, while the Italian goalkeeper made a succession of fine stops to ensure Tottenham went five away games without defeat in the English top flight.
But the VAR stepped in, advising Craig Pawson to check the score on the pitchside monitor and the official ruled that the winger and Iliman Ndiaye were in offside positions and had impeded with the Spurs keeper.
This victory moves Thomas Frank's side up to third in the Premier League, a handful of points off local foes and table-toppers Arsenal.
The Merseyside club stay 14th and sit half a dozen points ahead of the relegation zone.
Tottenham analysis: Van de Ven fulfils duties at both ends of pitch
After a drab midweek display in the European competition against the French side, where they managed a only attempts on target, the manager chose Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being substituted for Richarlison after an hour on the field, but it turns out he proved unnecessary in the final outcome.
Defender Van de Ven converted into an offensive threat to be reckoned with.
Spurs' first goal came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball back across the six-yard box for an unmarked Van de Ven to head home.
And Ven de Ven - filling in as skipper in the Argentine's absence - notched his second in added time as he rose above the England keeper to nod in.
Van de Ven was just as outstanding in defensive duties, partnering well with Kevin Danso as the pair dealt excellently with the 34 crosses thrown their way by Everton.
Everton analysis: Everton missing finishing touch
The club's recent stadium had been a happy hunting ground, but it appears the novelty may have faded slightly and supporters headed to the exits after Sarr's final goal for Spurs.
The end in the team's winning streak at home won't be a major worry for the manager, but their attacking woes are.
The forward and the other striker - the Everton's pair of established centre-forwards - had scored only one league goal between them before the weekend's outing.
And they were unable to add to that poor record on a wet and gloomy evening on Merseyside.
Beto's performance was summed up when he opted to overhead kick a clear chance from close range, despite having room and time to reposition for a simpler attempt that would have challenged Vicario.
The substitute, as well, was unable to influence the game after replacing the starter in the 65th minute.
It wasn't for a shortage of opportunity. The majority of the home side's attacks came through Grealish and Ndiaye, who tirelessly whipped dangerous balls into the Tottenham penalty area.
What next for these two sides?
The Toffees: Moyes' men travel to the Stadium of Light in the top flight on Monday, 3 November at 20:00 GMT.
Spurs: The London club travel to Newcastle's ground on late October for their fourth-round Carabao Cup match against Newcastle.