Van de Ven Double Halts The Toffees' Run at Brand New Stadium
The Dutch defender emerged as the initial backline player to score twice in a Premier League match for Tottenham since Jan Vertonghen in March 2013.
At a glance
The Spurs defender nods home two times in opening period
The home side's Jake O'Brien has goal ruled after video check
Senegalese midfielder nets final goal in dying moments
The defeat is the Merseyside club's first at their new ground
Micky van de Ven scored on two occasions as Tottenham extended their unbeaten run on the road in the top division and handed the Toffees their first defeat at their new home.
The Toffees 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 end of the previous campaign.
But Tottenham's leader the Dutchman pounced twice from corners in the opening 45 minutes to put their impressive record at risk, and they were failed to mount a comeback before the midfielder - assisted by former Toffees attacker Richarlison - headed home a third to put the game to bed.
Jake O'Brien thought he had levelled the tally a short while after Van de Ven's opener, glancing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, failed to convert a number of opportunities, while Vicario made a series of excellent saves to ensure Tottenham went five away games without defeat in the English top flight.
But the video assistant referee intervened, instructing the match official to review the goal on the pitchside monitor and the official ruled that Jack Grealish and the attacker were in an illegal position and had impeded with the Tottenham goalkeeper.
The win elevates Thomas Frank's team into third place in the Premier League, a handful of points off local foes and table-toppers the Gunners.
Everton stay in 14th position and are half a dozen points clear of the drop zone.
Tottenham analysis: The defender excels in duties at both ends of pitch
Following a drab weekday display in the Champions League against Monaco, where they mustered a mere attempts on target, Frank chose the French striker up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to make much of an impact before being replaced for the substitute after 60 minutes on the pitch, but it turns out he proved unnecessary in the end.
Defender the Dutchman transformed into an offensive threat to be feared.
Tottenham's first goal 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 score.
And the captain - filling in as captain in the Argentine's unavailability - notched his next goal in first-half stoppage time as he outjumped the England keeper to nod in.
Van de Ven was equally impressive in defensive duties, combining well with his defensive colleague as the pair handled excellently with the numerous deliveries thrown their way by the opposition.
Toffees breakdown: Toffees lacking striker's instinct
Everton's new home had been a happy hunting ground, but it seems the novelty may have worn off slightly and fans flocked to the exits after Sarr's final goal for Spurs.
The break in the team's unbeaten home run won't be a massive worry for the manager, but their attacking woes will be.
Beto and the other striker - the Toffees' two recognised centre-forwards - had netted only a single goal combined before the weekend's outing.
And they were failed to contribute to that poor record on a damp and dreary night on in Liverpool.
Beto's form was epitomized when he chose to bicycle-kick a clear chance from near the goal, even with having space and opportunity to readjust for a simpler attempt that would have tested Vicario.
Barry, as well, failed to influence the game after replacing Beto in the 65th minute.
It was not for a lack of chance. The majority of the home side's attacks came through Grealish and Ndiaye, who tirelessly delivered threatening balls into the Spurs penalty area.
Upcoming fixtures for both teams?
Everton: Moyes' men head to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Tottenham: Spurs travel to St James' Park on late October for their fourth-round Carabao Cup match against Newcastle.