Van de Ven Double Halts The Toffees' Run at Brand New Stadium
The Dutch defender emerged as the first backline player to score twice in a English top-flight match for Tottenham since the Belgian defender in March 2013.
Match summary
The Spurs defender heads into the net twice in first half
Everton's Jake O'Brien has equalizer disallowed after video check
Pape Matar Sarr scores final goal in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
The Tottenham defender scored on two occasions as Spurs extended their unbeaten run in away games in the Premier League and delivered the Toffees their first defeat at Hill Dickinson Stadium.
The Toffees were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having left their historic home behind after 133 years at the conclusion of last season.
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 unable to turn it around before Pape Matar Sarr - set up by ex-Everton forward Richarlison - nodded in a third to put the game to bed.
Jake O'Brien believed he had levelled the scores a short while after Van de Ven's first goal, glancing 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 saves to ensure the London club went five matches on the road unbeaten in the Premier League.
But the video assistant referee stepped in, instructing the match official to check the score on the screen and the referee decided 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 up to third in the Premier League, a handful of points off local foes and table-toppers Arsenal.
Everton stay in 14th position and are six points clear of the relegation zone.
Spurs breakdown: Van de Ven fulfils duties at each end of pitch
Following a drab midweek display in the Champions League against Monaco, where they managed a mere two shots on goal, the manager opted for Randal Kolo Muani up front instead of former Toffees player Richarlison.
The new arrival was unable to influence the game before being substituted for the substitute after an hour on the field, but it turns out he wasn't needed in the final outcome.
Defender the Dutchman converted into an offensive threat to be feared.
Tottenham's opening strike came from a cleverly executed corner routine, with the midfielder directing the ball toward the six-yard box for an unmarked the defender to head home.
And the captain - stepping up as captain in the Argentine's unavailability - notched his next goal in added time as he outjumped Jordan Pickford to head home.
The Dutchman was just as impressive in defensive duties, partnering effectively with his defensive colleague as the duo handled superbly with the numerous deliveries sent their way by Everton.
Everton analysis: Everton missing striker's instinct
Everton's new home had been a happy hunting ground, but it appears the novelty may have faded somewhat and fans flocked to the gates after the midfielder's final goal for Spurs.
The break in the team's winning streak at home won't be a massive concern for the manager, but their striker situation are.
Beto and Thierno Barry - the Toffees' pair of established strikers - had netted only one league goal between them before the weekend's match.
And they were unable to add to that miserable tally on a damp and dreary night on Merseyside.
Beto's performance was summed up when he opted to overhead kick a golden opportunity from close range, despite having space and opportunity to readjust for a simpler attempt that would have challenged the keeper.
Barry, as well, failed to make an impact after replacing the starter in the second half.
It was not for a lack of opportunity. The majority of Everton's attacks came through the winger and the forward, who relentlessly delivered threatening balls into the Spurs penalty area.
Upcoming fixtures for these two sides?
Everton: Moyes' men head to the Stadium of Light in the Premier League on Monday, 3 November at 8 PM.
Tottenham: The London club travel to Newcastle's ground on Wednesday, 29 October for their next round Carabao Cup tie against Newcastle.