Van de Ven Double Ends The Toffees' Run at New Stadium
The Dutch defender emerged as the first backline player to net two goals in a Premier League game for Tottenham since Jan Vertonghen in March 2013.
Match summary
The Spurs defender heads into the net two times in opening period
The home side's defender has equalizer disallowed after VAR review
Pape Matar Sarr scores third in 89th minute
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
The Tottenham defender scored on two occasions as Tottenham extended their unbeaten run on the road in the top division and handed Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the conclusion of the previous campaign.
But Tottenham's leader the Dutchman struck twice from corners in the opening 45 minutes to place their strong form at risk, and they were unable to mount a comeback before Pape Matar Sarr - assisted by ex-Everton forward Richarlison - headed home a third to seal the victory.
Jake O'Brien believed he had equalized the tally a short while after the defender's opener, directing a powerful header past Guglielmo Vicario from an set-piece.
Beto, meanwhile, failed to convert a handful of opportunities, while the Italian goalkeeper made a series of fine stops to ensure Tottenham went five away games unbeaten in the English top flight.
But the video assistant referee intervened, instructing the match official to check the score on the pitchside monitor and the referee decided that the winger and Iliman Ndiaye were in an illegal position and had impeded with the Tottenham goalkeeper.
The win moves the manager's side up to third in the division, five points off local foes and table-toppers the Gunners.
The Merseyside club stay 14th and are half a dozen points ahead of the relegation zone.
Tottenham analysis: Van de Ven excels in duties at both ends of pitch
Following a drab midweek performance in the European competition against Monaco, where they mustered a only two shots on target, Frank chose the French striker up front instead of ex-Everton forward Richarlison.
The new arrival was unable to influence the game before being replaced for Richarlison after an hour on the pitch, but it turns out he wasn't needed in the final outcome.
Centre-back Van de Ven converted into an attacking force to be feared.
Spurs' opening strike came from a cleverly executed corner routine, with Rodrigo Bentancur heading the ball back across the six-yard box for an free Van de Ven to score.
And the captain - filling in as skipper in the Argentine's absence - notched his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
The Dutchman was equally outstanding in defence, combining well with his defensive colleague as the duo handled superbly with the numerous deliveries thrown their way by the opposition.
Everton analysis: Toffees missing striker's instinct
Everton's new home had been a fortress, but it seems the freshness may have worn off slightly and supporters headed to the exits after Sarr's third for Tottenham.
The end in the team's winning streak at home won't be a major concern for the manager, but their attacking woes are.
Beto and Thierno Barry - the Everton's pair of established centre-forwards - had netted just a single goal combined before the weekend's outing.
And they were unable to add to that miserable record on a damp and dreary night on Merseyside.
Beto's performance was epitomized when he chose to bicycle-kick a golden opportunity from close range, even with having space and time to readjust for a more conventional shot that would have challenged Vicario.
The substitute, too, failed to influence the game after coming on for Beto in the second half.
It wasn't for a shortage of chance. The majority of Everton's offensive moves came through Grealish and the forward, who tirelessly whipped dangerous balls into the Tottenham box.
Upcoming fixtures for these two sides?
Everton: Moyes' men head to Sunderland in the Premier League on early November at 8 PM.
Tottenham: Spurs travel to St James' Park on late October for their fourth-round Carabao Cup match against the Magpies.