Micky van de Ven Brace Ends Everton's Unbeaten Streak at New Home Ground
The Dutch defender emerged as the first defender to score twice in a English top-flight game for Spurs since Jan Vertonghen in spring 2013.
At a glance
The Spurs defender heads home twice in first half
Everton's Jake O'Brien has goal disallowed after video check
Senegalese midfielder scores third in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven scored twice as Spurs extended their unbeaten run on the road in the top division and delivered the Toffees their first defeat at their new home.
Everton were unbeaten in their last five matches at their recently opened stadium at the dockside location, having departed their historic home behind after more than a century at the conclusion of the previous campaign.
But Tottenham's leader the Dutchman pounced on two occasions from corners in the opening 45 minutes to place their strong form at jeopardy, and they were unable to mount a comeback before the midfielder - assisted by ex-Everton forward Richarlison - nodded in a final goal to seal the victory.
Jake O'Brien thought he had levelled the scores five minutes after the defender's first goal, glancing a powerful header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, in the meantime, failed to convert a number of chances, while Vicario made a series of fine saves to guarantee Tottenham went five matches on the road without defeat in the English top flight.
But the video assistant referee stepped in, instructing the match official to check the score on the pitchside monitor and the official ruled that the winger and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's side up to third in the Premier League, a handful of points off local foes and leaders the Gunners.
Everton remain 14th and sit six points ahead of the relegation zone.
Tottenham analysis: The defender excels in role at both ends of the field
Following a drab weekday performance in the European competition against Monaco, where they managed a mere attempts on target, Frank chose Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was failed to influence the game before being substituted for Richarlison after 60 minutes on the pitch, but it emerged he proved unnecessary in the end.
Defender Van de Ven converted into an offensive threat to be reckoned with.
Spurs' first goal came from a well-worked set-piece play, with the midfielder heading the ball toward the six-yard box for an free Van de Ven to score.
And Ven de Ven - filling in as skipper in the Argentine's absence - notched his next goal in first-half stoppage time as he rose above the England keeper to nod in.
The Dutchman was equally impressive in defence, partnering effectively with his defensive colleague as the duo handled excellently with the numerous deliveries sent their way by Everton.
Toffees breakdown: Toffees lacking finishing touch
Everton's recent stadium had been a fortress, but it appears the freshness may have faded slightly and supporters flocked to the exits after the midfielder's third for Spurs.
The end in Everton's winning streak at home will not be a major concern for the manager, but their striker situation are.
Beto and Thierno Barry - the Everton's two established centre-forwards - had netted just a single goal combined before Sunday's match.
And they were unable to add to that poor record on a wet and gloomy night on Merseyside.
Beto's performance was epitomized when he chose to bicycle-kick a golden opportunity from close range, even with having room and opportunity to readjust for a simpler shot that would have tested Vicario.
The substitute, as well, was unable to influence the game after replacing Beto in the 65th minute.
It was not for a lack of opportunity. Most of the home side's offensive moves came through Grealish and the forward, who relentlessly delivered dangerous balls into the Spurs penalty area.
Upcoming fixtures for both teams?
Everton: Moyes' men travel to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: Spurs travel to St James' Park on late October for their next round League Cup match against Newcastle.