Van de Ven Double Ends The Toffees' Unbeaten Streak at New Stadium
The Dutch defender emerged as the first backline player to score two goals in a English top-flight match for Spurs since the Belgian defender in March 2013.
At a glance
Micky Van de Ven nods home two times in first half
The home side's Jake O'Brien has goal disallowed after video check
Senegalese midfielder scores final goal in 89th minute
This loss is the Merseyside club's first at Hill Dickinson Stadium
The Tottenham defender found the net on two occasions as Spurs prolonged their winning streak in away games in the top division and handed Everton their first defeat at their new home.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having departed Goodison Park behind after 133 years at the conclusion of the previous campaign.
But Tottenham's leader Van de Ven pounced on two occasions from corners in the first half to place their strong form at jeopardy, and they were failed to turn it around before the midfielder - set up by ex-Everton forward Richarlison - headed home a third to put the game to bed.
Jake O'Brien believed he had levelled the scores five minutes after Van de Ven's opener, glancing a powerful header past Guglielmo Vicario from an Everton corner.
Beto, in the meantime, missed a number of opportunities, while the Italian goalkeeper made a succession of fine stops to guarantee the London club went five away games unbeaten in the English top flight.
But the video assistant referee stepped in, instructing the match official to review the goal 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.
This victory elevates the manager's team into third place in the division, a handful of points off local foes and leaders Arsenal.
The Merseyside club stay in 14th position and sit half a dozen points ahead of the drop zone.
Spurs breakdown: The defender excels in role at both ends of the field
Following a drab weekday performance in the Champions League against Monaco, where they mustered a mere two shots on goal, Frank opted for Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was failed to make much of an impact before being replaced for the substitute after 60 minutes on the field, but it emerged he proved unnecessary in the end.
Centre-back Van de Ven converted into an offensive threat to be reckoned with.
Tottenham's first goal came from a well-worked set-piece play, with the midfielder directing the ball back across the six-yard box for an unmarked Van de Ven to head home.
And the captain - filling in as captain in Cristian Romero's unavailability - notched his second in first-half stoppage time as he rose above the England keeper to nod in.
Van de Ven was just as impressive in defence, partnering well with his defensive colleague as the duo handled superbly with the 34 crosses thrown their way by Everton.
Everton analysis: Toffees lacking striker's instinct
Everton's recent stadium had been a fortress, but it seems the novelty may have faded slightly and supporters headed to the exits after the midfielder's final goal for Spurs.
The end in the team's winning streak at home won't be a massive worry for David Moyes, but their attacking woes are.
The forward and Thierno Barry - the Everton's pair of recognised centre-forwards - had netted only a single goal combined before Sunday's outing.
And they were failed to add to that miserable tally on a wet and gloomy night on in Liverpool.
Beto's form was epitomized when he chose to overhead kick a clear chance from close range, even with having room and opportunity to reposition for a more conventional attempt that would have challenged the keeper.
Barry, too, failed to make an impact after coming on for the starter in the 65th minute.
It was not for a shortage of opportunity. Most of Everton's offensive moves came through Grealish and the forward, who tirelessly whipped dangerous crosses into the Spurs box.
Upcoming fixtures for both teams?
Everton: The team travel to Sunderland in the top flight on early November at 20:00 GMT.
Tottenham: Spurs go to St James' Park on Wednesday, 29 October for their next round Carabao Cup match against Newcastle.