Micky van de Ven Double Halts The Toffees' Run at New Home Ground
The Dutch defender emerged as the first defender to net twice in a Premier League match for Spurs since Jan Vertonghen in spring 2013.
At a glance
Micky Van de Ven heads home twice in first half
The home side's defender has equalizer disallowed after video check
Senegalese midfielder scores third in 89th minute
This loss is Everton's initial at Hill Dickinson Stadium
Micky van de Ven scored twice as Spurs extended their unbeaten run on the road in the top division and handed Everton their first defeat at their new home.
Everton were undefeated in their five previous fixtures at their new ground 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 twice from set-pieces in the opening 45 minutes to place their strong form at risk, and they were failed to mount a comeback before the midfielder - set up by ex-Everton forward Richarlison - nodded in a final goal to put the game to bed.
Jake O'Brien believed he had levelled the scores five minutes after the defender's opener, glancing a powerful header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, in the meantime, missed a handful of opportunities, while the Italian goalkeeper made a succession of fine saves 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 check the goal on the pitchside monitor and the official ruled that Jack Grealish and the attacker were in offside positions and had impeded with the Spurs keeper.
The win elevates the manager's team up to third in the division, five points off local foes and leaders Arsenal.
Everton stay 14th and sit six points clear of the drop zone.
Spurs breakdown: The defender excels in duties at each end of the field
Following a uninspiring weekday display in the Champions League against the French side, where they managed a only attempts on target, the manager chose Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The summer signing was unable to influence the game before being replaced for the substitute after 60 minutes 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 Rodrigo Bentancur heading the ball back across the six-yard box for an unmarked Van de Ven to head home.
And the captain - filling in as captain in Cristian Romero's absence - notched his next goal in added time as he rose above Jordan Pickford to nod in.
The Dutchman was just as impressive in defensive duties, partnering well with Kevin Danso as the duo dealt superbly with the numerous deliveries sent their way by the opposition.
Everton analysis: Everton lacking striker's instinct
The club's new home had been a happy hunting ground, but it appears the novelty may have worn off somewhat and fans flocked to the gates after Sarr's final goal for Tottenham.
The break in the team's winning streak at home won't be a massive worry for David Moyes, but their attacking woes are.
Beto and the other striker - the Toffees' two recognised strikers - had scored just a single goal between them before the weekend's match.
And they were failed to contribute to that miserable tally on a wet and gloomy evening on Merseyside.
The striker's performance was epitomized when he opted to overhead kick a clear chance from close range, despite having space and time to readjust for a simpler shot that would have tested Vicario.
The substitute, too, was unable to influence the game after replacing Beto in the 65th minute.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through Grealish and the forward, who relentlessly delivered threatening balls into the Tottenham box.
Upcoming fixtures for both teams?
The Toffees: The team head to Sunderland in the Premier League on early November at 20:00 GMT.
Spurs: The London club go to St James' Park on Wednesday, 29 October for their fourth-round League Cup match against Newcastle.