Van de Ven Double Ends The Toffees' Run at Brand New Home Ground
The Dutch defender became the first backline player to score two goals in a Premier League game for Spurs since Jan Vertonghen in spring 2013.
At a glance
The Spurs defender heads home two times in opening period
The home side's Jake O'Brien has equalizer disallowed after video check
Pape Matar Sarr nets final goal in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven scored on two occasions as Tottenham extended their winning streak in away games in the top division and delivered the Toffees their first defeat at their new home.
Everton were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having departed Goodison Park behind after 133 years at the end of last season.
But Spurs captain the Dutchman pounced on two occasions from corners in the first half to place their strong form at risk, and they were failed to mount a comeback before the midfielder - set up by ex-Everton forward the Brazilian - nodded in a third to put the game to bed.
Jake O'Brien believed he had equalized the scores five minutes after Van de Ven's opener, glancing a powerful header past Guglielmo Vicario from an Everton corner.
Beto, in the meantime, missed a number of chances, while the Italian goalkeeper made a series of fine stops to guarantee Tottenham went five matches on the road without defeat in the English top flight.
But the video assistant referee intervened, instructing Craig Pawson to review the score on the pitchside monitor and the official decided that the winger and the attacker were in an illegal position and had interfered with the Tottenham goalkeeper.
This victory moves the manager's side up to third in the division, a handful of points off north London rivals and table-toppers Arsenal.
Everton stay in 14th position and sit six points clear of the relegation zone.
Tottenham analysis: The defender fulfils role at each end of the field
Following a drab midweek performance in the European competition against Monaco, where they mustered a mere two shots on goal, the manager opted for Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The new arrival was unable to make much of an impact before being substituted for the substitute after 60 minutes on the field, but it emerged he wasn't needed in the final outcome.
Defender the Dutchman converted into an attacking force to be reckoned with.
Spurs' opening strike came from a well-worked corner routine, with Rodrigo Bentancur heading the ball toward the six-yard box for an unmarked Van de Ven to head home.
And the captain - filling in as skipper in the Argentine's unavailability - added his next goal in added time as he rose above Jordan Pickford to head home.
The Dutchman was just as outstanding in defensive duties, combining effectively with Kevin Danso as the pair dealt 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 fortress, but it appears the novelty may have faded somewhat and fans flocked to the exits after the midfielder's third for Tottenham.
The break in the team's winning streak at home will not be a massive worry for the manager, but their striker situation will be.
The forward and the other striker - the Everton's two recognised centre-forwards - had netted just a single goal combined before the weekend's match.
And they were failed to add to that miserable tally on a wet and gloomy night on in Liverpool.
Beto's performance was summed up when he opted to bicycle-kick a golden opportunity from near the goal, despite having room and opportunity to readjust for a simpler attempt that would have tested Vicario.
Barry, as well, failed to influence the game after replacing the starter in the 65th minute.
It wasn't for a lack of chance. The majority of Everton's offensive moves came through the winger and Ndiaye, who tirelessly delivered dangerous crosses into the Spurs box.
Upcoming fixtures for both teams?
The Toffees: The team head to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: The London club go to St James' Park on late October for their next round League Cup match against Newcastle.