Van de Ven Double Halts Everton's Run at Brand New Stadium
The Dutch defender emerged as the first backline player to score twice in a Premier League game for Spurs since Jan Vertonghen in March 2013.
At a glance
The Spurs defender nods into the net twice in first half
The home side's defender 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 found the net on two occasions as Tottenham extended their winning streak in away games in the top division and handed Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their last five matches at their new ground at the dockside location, having left their historic home behind after more than a century at the end of last season.
But Spurs captain the Dutchman pounced on two occasions from set-pieces in the first half to put their impressive record at risk, and they were failed to mount a comeback before the midfielder - set up by former Toffees attacker the Brazilian - nodded in a third to seal the victory.
Jake O'Brien believed he had levelled the tally five minutes after the defender's opener, directing a bullet header past the Spurs keeper from an Everton corner.
The Portuguese striker, in the meantime, missed a number of chances, while Vicario made a succession of fine saves to guarantee Tottenham went five matches on the road without defeat in the Premier League.
But the video assistant referee intervened, instructing the match official to check the goal on the pitchside monitor and the official decided that Jack Grealish and the attacker were in an illegal position and had impeded with the Spurs keeper.
The win moves the manager's team up to third in the division, a handful of points off north London rivals and table-toppers Arsenal.
The Merseyside club stay in 14th position and are half a dozen points clear of the drop zone.
Spurs breakdown: The defender fulfils role at each end of pitch
Following a uninspiring midweek performance in the Champions League against the French side, where they mustered a only two shots on target, the manager opted for the French striker in attack instead of ex-Everton forward the Brazilian.
The summer signing was failed to influence the game before being replaced for Richarlison after an hour on the field, but it emerged he wasn't needed in the end.
Centre-back the Dutchman transformed into an attacking force to be reckoned with.
Tottenham's first goal came from a cleverly executed corner routine, with the midfielder directing the ball toward the six-yard box for an free the defender to score.
And Ven de Ven - filling in as captain in the Argentine's absence - added his second in first-half stoppage time as he rose above the England keeper to head home.
Van de Ven was equally impressive in defence, combining effectively with his defensive colleague as the duo handled superbly with the 34 crosses thrown their way by the opposition.
Everton analysis: Everton missing striker's instinct
The club's recent stadium had been a happy hunting ground, but it seems the novelty may have faded somewhat and supporters headed to the gates after the midfielder's final goal for Tottenham.
The end in Everton's unbeaten home run will not be a massive concern for David Moyes, but their attacking woes are.
Beto and Thierno Barry - the Toffees' pair of recognised centre-forwards - had scored just a single goal combined before the weekend's outing.
And they were unable to add to that miserable tally on a wet and gloomy night on Merseyside.
The striker's performance was epitomized when he opted to bicycle-kick a golden opportunity from near the goal, even with having room and opportunity to reposition for a simpler shot that would have tested Vicario.
The substitute, too, failed to influence the game after coming on for the starter in the 65th minute.
It was not for a shortage of opportunity. Most of Everton's attacks came through Grealish and the forward, who relentlessly whipped threatening crosses into the Tottenham penalty area.
What next for both teams?
The Toffees: Moyes' men head to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: Spurs go to St James' Park on late October for their fourth-round League Cup match against the Magpies.