Micky van de Ven Double Ends Everton's Run at Brand New Home Ground
The Dutch defender emerged as the initial defender to score twice in a Premier League game for Spurs since the Belgian defender in March 2013.
Match summary
Micky Van de Ven heads into the net twice in opening period
The home side's Jake O'Brien has goal ruled after VAR review
Senegalese midfielder scores final goal in 89th minute
The defeat is Everton's initial at Hill Dickinson Stadium
The Tottenham defender found the net on two occasions as Spurs prolonged their winning streak in away games in the top division and delivered the Toffees their first defeat at their new home.
Everton were undefeated in their five previous fixtures at their new ground at Bramley-Moore Dock, having departed their historic home behind after 133 years at the end of the previous campaign.
But Tottenham's leader the Dutchman struck twice from corners in the opening 45 minutes to put their strong form at risk, and they were unable to mount a comeback before Pape Matar Sarr - set up by ex-Everton forward Richarlison - nodded in a final goal to put the game to bed.
The Everton defender thought he had equalized the tally five minutes after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a number of opportunities, while the Italian goalkeeper made a series of fine stops to ensure the London club went five matches on the road without defeat in the English top flight.
But the VAR stepped in, instructing Craig Pawson to review the score on the pitchside monitor and the referee ruled that the winger and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
The win moves the manager's side up to third in the Premier League, five points off local foes and table-toppers the Gunners.
The Merseyside club remain in 14th position and are half a dozen points clear of the relegation zone.
Tottenham analysis: Van de Ven excels in role at both ends of the field
Following a uninspiring midweek performance in the European competition against the French side, where they managed a mere attempts on target, the manager chose Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The new arrival was unable to influence the game before being replaced for Richarlison after 60 minutes on the field, but it turns out he wasn't needed in the end.
Defender Van de Ven converted into an attacking force to be reckoned with.
Spurs' opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball toward the face of goal for an free the defender to head home.
And Ven de Ven - stepping up as skipper in the Argentine's absence - added his next goal in added time as he outjumped the England keeper to nod in.
Van de Ven was equally outstanding in defence, partnering effectively with his defensive colleague as the duo handled excellently with the 34 crosses thrown their way by Everton.
Toffees breakdown: Everton lacking finishing touch
The club's new home had been a happy hunting ground, but it appears the freshness may have faded slightly and supporters flocked to the gates after the midfielder's final goal for Tottenham.
The end in the team's winning streak at home will not be a massive worry for David Moyes, but their striker situation are.
The forward and the other striker - the Everton's two recognised centre-forwards - had scored just one league goal between them before the weekend's match.
And they were failed to add to that miserable tally on a damp and dreary evening on Merseyside.
Beto's performance was summed up when he opted to bicycle-kick a clear chance from close range, despite having room and opportunity to reposition for a simpler shot that would have tested the keeper.
The substitute, as well, failed to influence the game after replacing Beto in the second half.
It was not for a shortage of chance. Most of Everton's offensive moves came through the winger and Ndiaye, who tirelessly delivered dangerous balls into the Spurs penalty area.
What next for both teams?
The Toffees: Moyes' men travel to Sunderland in the top flight on early November at 20:00 GMT.
Spurs: Spurs go to St James' Park on Wednesday, 29 October for their fourth-round Carabao Cup tie against Newcastle.