Micky van de Ven Double Ends Everton's Run at New Home Ground
The Dutch defender emerged as the initial backline player to net twice in a Premier League game for Spurs since the Belgian defender in March 2013.
Match summary
The Spurs defender heads into the net twice in opening period
Everton's defender has equalizer disallowed after VAR review
Pape Matar Sarr nets third in dying moments
The defeat is Everton's initial at their new ground
The Tottenham defender scored on two occasions as Spurs prolonged their unbeaten run on the road in the Premier League and delivered Everton their first defeat at Hill Dickinson Stadium.
Everton were unbeaten in their five previous fixtures at their new ground at the dockside location, having left Goodison Park behind after 133 years at the end of the previous campaign.
But Tottenham's leader Van de Ven pounced on two occasions from corners in the first half to place their strong form at jeopardy, and they were unable to mount a comeback before Pape Matar Sarr - assisted by former Toffees attacker Richarlison - headed home a third to seal the victory.
The Everton defender thought he had equalized the tally five minutes after the defender's first goal, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, in the meantime, failed to convert a handful of opportunities, while Vicario made a succession of fine saves to guarantee the London club went five matches on the road unbeaten in the English top flight.
But the video assistant referee intervened, instructing the match official to check the goal on the screen and the referee decided that Jack Grealish and the attacker were in an illegal position and had interfered with the Spurs keeper.
The win moves Thomas Frank's team into third place in the division, a handful of points off north London rivals and leaders Arsenal.
Everton stay 14th and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: The defender fulfils duties at each end of the field
Following a uninspiring weekday performance in the European competition against the French side, where they mustered a mere two shots on goal, Frank opted for Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The summer signing was unable to make much of an impact before being replaced for the substitute after an hour on the pitch, but it turns out he wasn't needed in the final outcome.
Centre-back the Dutchman converted into an offensive threat to be reckoned with.
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 free Van de Ven to score.
And the captain - stepping up as skipper in the Argentine's unavailability - notched his next goal in first-half stoppage time as he rose above the England keeper to nod in.
Van de Ven was just as impressive in defensive duties, partnering effectively with Kevin Danso as the pair handled superbly with the 34 crosses sent their way by Everton.
Everton analysis: Everton lacking finishing touch
Everton's new home had been a fortress, but it appears the freshness may have faded slightly and supporters flocked to the exits after the midfielder's third for Spurs.
The break in Everton's unbeaten home run will not be a major concern for David Moyes, but their striker situation are.
The forward and Thierno Barry - the Everton's two established strikers - had netted just one league goal between them before Sunday's match.
And they were failed to contribute to that poor tally on a damp and dreary night on Merseyside.
Beto's form was epitomized when he chose to bicycle-kick a clear chance from near the goal, even with having room and opportunity to reposition for a more conventional shot that would have challenged the keeper.
The substitute, as well, failed to influence the game after coming on for the starter in the second half.
It was not for a lack of chance. Most of Everton's attacks came through Grealish and the forward, who relentlessly delivered dangerous crosses into the Tottenham box.
What next for these two sides?
Everton: Moyes' men travel to Sunderland in the top flight on early November at 8 PM.
Tottenham: The London club travel to Newcastle's ground on late October for their fourth-round Carabao Cup tie against the Magpies.