Van de Ven Brace Halts The Toffees' Run at Brand New Stadium
The Dutch defender became the first backline player to score twice in a Premier League match for Spurs since Jan Vertonghen in March 2013.
At a glance
The Spurs defender nods home twice in opening period
Everton's defender has equalizer ruled after VAR review
Pape Matar Sarr nets final goal in dying moments
The defeat is the Merseyside club's initial at their new ground
The Tottenham defender scored on two occasions as Tottenham prolonged their winning streak on the road in the Premier League and delivered Everton their first defeat at Hill Dickinson Stadium.
Everton were unbeaten in their five previous fixtures at their new ground at Bramley-Moore Dock, having left Goodison Park behind after more than a century at the conclusion of the previous campaign.
But Spurs captain Van de Ven struck twice from corners in the opening 45 minutes to put their strong form at risk, and they were failed to turn it around before the midfielder - set up by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
The Everton defender believed he had levelled the scores five minutes after the defender's opener, directing a powerful header past the Spurs keeper from an Everton corner.
Beto, meanwhile, missed a handful of opportunities, while Vicario made a succession of fine stops to guarantee Tottenham went five away games without defeat in the English top flight.
But the VAR intervened, instructing Craig Pawson to check the score on the pitchside monitor and the official decided that Jack Grealish and the attacker were in offside positions and had impeded with the Spurs keeper.
The win moves Thomas Frank's side into third place in the Premier League, five points off north London rivals and table-toppers Arsenal.
Everton stay 14th and are half a dozen points ahead of the relegation zone.
Tottenham analysis: Van de Ven fulfils role at each end of pitch
After a uninspiring weekday performance in the Champions League against the French side, where they managed a only two shots on target, the manager chose Randal Kolo Muani up front instead of former Toffees player Richarlison.
The summer signing was unable to influence the game before being replaced for the substitute after 60 minutes on the pitch, but it emerged he proved unnecessary in the final outcome.
Centre-back Van de Ven transformed into an offensive threat to be feared.
Spurs' opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur heading the ball back across the six-yard box for an unmarked the defender to score.
And the captain - filling in as skipper in Cristian Romero's absence - added his second in added time as he rose above the England keeper to head home.
Van de Ven was equally impressive in defensive duties, combining effectively with his defensive colleague as the duo dealt superbly with the 34 crosses thrown their way by the opposition.
Everton analysis: Everton missing striker's instinct
The club's new home had been a happy hunting ground, but it appears the novelty may have faded somewhat and fans flocked to the exits after the midfielder's final goal for Spurs.
The break in the team's winning streak at home won't be a massive worry for David Moyes, but their striker situation will be.
Beto and the other striker - the Everton's two recognised centre-forwards - had scored just one league goal between them before the weekend's match.
And they were unable to add to that poor record on a damp and dreary night on Merseyside.
The striker's form was epitomized when he opted to overhead kick a clear chance from near the goal, even with having room and opportunity to reposition for a more conventional attempt that would have tested the keeper.
The substitute, too, was unable to make an impact after coming on for the starter in the second half.
It wasn't for a lack of chance. The majority of Everton's offensive moves came through the winger and Ndiaye, who tirelessly delivered dangerous balls into the Spurs box.
What next for both teams?
The Toffees: Moyes' men head to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: The London club travel to St James' Park on late October for their next round Carabao Cup match against Newcastle.