Van de Ven Brace Halts Everton's Run at Brand New Stadium
The Dutch defender emerged as the initial backline player to score twice in a Premier League game for Tottenham since the Belgian defender in March 2013.
Match summary
The Spurs defender nods into the net two times in opening period
The home side's defender has goal disallowed after video check
Pape Matar Sarr scores third in 89th minute
The defeat is Everton's first at Hill Dickinson Stadium
The Tottenham defender scored twice as Tottenham prolonged their winning streak in away games in the Premier League and delivered Everton their initial loss at their new home.
The Toffees were undefeated in their last five matches at their recently opened stadium at Bramley-Moore Dock, having departed their historic home behind after 133 years at the end of the previous campaign.
But Spurs captain the Dutchman struck twice from set-pieces in the first half to put their impressive record at risk, and they were failed 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 thought he had levelled the tally five minutes after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an set-piece.
Beto, in the meantime, missed a handful of chances, while the Italian goalkeeper made a series of excellent stops to guarantee Tottenham went five matches on the road without defeat in the English top flight.
But the VAR stepped in, advising Craig Pawson to review the score on the pitchside monitor and the referee ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Spurs keeper.
The win moves the manager's side up to third in the Premier League, five points off local foes and leaders the Gunners.
Everton remain 14th and sit half a dozen points clear of the drop zone.
Spurs breakdown: The defender fulfils role at each end of pitch
Following a uninspiring midweek display in the European competition against Monaco, where they mustered a only attempts on goal, Frank chose Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The new arrival was failed to make much of an impact before being replaced for the substitute after 60 minutes on the pitch, but it turns out he wasn't needed in the end.
Centre-back the Dutchman converted into an attacking force to be reckoned with.
Tottenham's first goal came from a well-worked corner routine, with the midfielder directing the ball back across the six-yard box for an free the defender to score.
And Ven de Ven - stepping up as skipper in Cristian Romero's absence - added his next goal in first-half stoppage time as he rose above the England keeper to head home.
Van de Ven was just as outstanding in defensive duties, combining effectively with his defensive colleague as the pair handled excellently with the numerous deliveries thrown their way by Everton.
Toffees breakdown: Everton missing finishing touch
Everton's recent stadium had been a happy hunting ground, but it seems the novelty may have worn off slightly and fans headed to the exits after the midfielder's third for Tottenham.
The break in the team's unbeaten home run won't be a major worry for the manager, but their attacking woes are.
Beto and Thierno Barry - the Toffees' pair of recognised strikers - had netted just one league goal between them before the weekend's match.
And they were failed to add to that miserable tally on a wet and gloomy night on Merseyside.
The striker's form was summed up when he opted to bicycle-kick a golden opportunity from close range, despite having space and time to reposition for a simpler shot that would have challenged the keeper.
Barry, too, was unable to make an impact after coming on for the starter in the second half.
It was not for a lack of chance. Most of the home side's attacks came through the winger and the forward, who relentlessly whipped dangerous balls into the Spurs box.
Upcoming fixtures for these two sides?
The Toffees: The team head to Sunderland in the top flight on Monday, 3 November at 20:00 GMT.
Spurs: The London club go to Newcastle's ground on Wednesday, 29 October for their fourth-round League Cup tie against Newcastle.