The Dutch defender emerged as the initial defender to score twice in a Premier League game for Spurs since the Belgian defender in spring 2013.
Key points
The Spurs defender heads into the net twice in opening period
The home side's Jake O'Brien has goal disallowed after VAR review
Senegalese midfielder nets final goal in 89th minute
The defeat is Everton's initial at their new ground
The Tottenham defender scored twice as Spurs extended their winning streak on the road in the Premier League and delivered Everton their initial loss at Hill Dickinson Stadium.
The Toffees were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having departed their historic home behind after 133 years at the conclusion of last season.
But Tottenham's leader Van de Ven pounced twice from corners in the first half to place their impressive record at risk, and they were failed to mount a comeback before Pape Matar Sarr - set up by ex-Everton forward Richarlison - nodded in a final goal to seal the victory.
The Everton defender thought he had equalized the tally five minutes after Van de Ven's first goal, directing a bullet header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while the Italian goalkeeper made a series of excellent stops to guarantee Tottenham went five away games without defeat in the English top flight.
But the video assistant referee stepped in, instructing the match official to check the goal on the pitchside monitor and the official ruled that Jack Grealish and Iliman Ndiaye were in offside positions and had impeded with the Tottenham goalkeeper.
The win elevates Thomas Frank's team up to third in the division, a handful of points off local foes and leaders the Gunners.
The Merseyside club stay 14th and are six points clear of the drop zone.
After a uninspiring midweek performance in the European competition against Monaco, where they mustered a mere attempts on goal, the manager chose Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The summer signing was failed to influence the game before being replaced 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 feared.
Spurs' opening strike came from a well-worked set-piece play, with Rodrigo Bentancur directing the ball back across the six-yard box for an free the defender to head home.
And the captain - stepping up as captain in the Argentine's unavailability - notched his second in added time as he outjumped the England keeper to head home.
Van de Ven was equally outstanding in defence, combining effectively with Kevin Danso as the pair dealt superbly with the numerous deliveries sent their way by the opposition.
The club's recent stadium had been a happy hunting ground, but it appears the freshness may have faded somewhat and supporters headed to the gates after Sarr's final goal for Tottenham.
The break in Everton's winning streak at home will not be a massive concern for David Moyes, but their striker situation will be.
Beto and Thierno Barry - the Everton's two established centre-forwards - had netted just one league goal combined before Sunday's outing.
And they were failed 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 clear chance from close range, even with having space and time to reposition for a simpler shot that would have tested Vicario.
The substitute, too, failed to make an impact after replacing the starter in the 65th minute.
It wasn't for a shortage of chance. The majority of Everton's attacks came through Grealish and Ndiaye, who relentlessly whipped threatening crosses into the Spurs penalty area.
The Toffees: The team travel to the Stadium of Light in the Premier League on early November at 8 PM.
Spurs: Spurs travel to Newcastle's ground on Wednesday, 29 October for their fourth-round League Cup tie against Newcastle.
Elena is a certified nutritionist with 10 years of experience in sports supplementation and wellness coaching.