Micky van de Ven Brace Ends Everton's Run at Brand New Stadium
Micky van de Ven emerged as the first backline player to score two goals in a English top-flight match for Spurs since Jan Vertonghen in spring 2013.
Match summary
The Spurs defender heads home twice in opening period
Everton's Jake O'Brien has goal ruled after VAR review
Pape Matar Sarr nets final goal in dying moments
The defeat is the Merseyside club's first at their new ground
The Tottenham defender scored on two occasions as Tottenham extended their winning streak on the road in the Premier League and delivered the Toffees their initial loss at Hill Dickinson Stadium.
The Toffees were unbeaten in their last five matches at their recently opened stadium at the dockside location, having left Goodison Park behind after more than a century at the conclusion of last season.
But Tottenham's leader Van de Ven struck twice from set-pieces in the first half to put their impressive record at risk, and they were unable to mount a comeback before Pape Matar Sarr - assisted by former Toffees attacker Richarlison - nodded in a third to seal the victory.
Jake O'Brien believed he had equalized the tally a short while after the defender's opener, glancing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while Vicario made a series of excellent stops to ensure Tottenham went five matches on the road without defeat in the English top flight.
But the video assistant referee intervened, advising Craig Pawson to check the score on the screen and the official decided that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Spurs keeper.
This victory elevates the manager's team up to third in the division, five points off north London rivals and table-toppers the Gunners.
Everton remain 14th and sit half a dozen points ahead of the drop zone.
Spurs breakdown: Van de Ven excels in duties at both ends of pitch
Following a uninspiring midweek display in the Champions League against Monaco, where they managed a mere attempts on goal, the manager opted for the French striker in attack instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being substituted for Richarlison after 60 minutes on the pitch, but it emerged he wasn't needed in the end.
Centre-back the Dutchman converted into an offensive threat to be reckoned with.
Tottenham's opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball toward the face of goal for an unmarked Van de Ven to score.
And Ven de Ven - stepping up as captain in Cristian Romero's unavailability - added his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
Van de Ven was just as outstanding in defence, partnering effectively with his defensive colleague as the duo dealt excellently with the 34 crosses sent their way by Everton.
Toffees breakdown: Everton missing finishing touch
The club's new home had been a fortress, but it appears the freshness may have faded slightly and fans flocked to the gates after the midfielder's final goal for Spurs.
The break in Everton's unbeaten home run won't be a major concern for David Moyes, but their striker situation will be.
The forward and the other striker - the Everton's pair of established strikers - had netted just one league goal combined before the weekend's match.
And they were unable to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's form was epitomized when he opted to overhead kick a golden opportunity from near the goal, despite having space and opportunity to reposition for a simpler shot that would have challenged the keeper.
The substitute, as well, failed to influence the game after replacing the starter in the second half.
It was not for a shortage of chance. Most of Everton's offensive moves came through Grealish and the forward, who relentlessly whipped dangerous balls into the Spurs penalty area.
What next for both teams?
The Toffees: Moyes' men head to Sunderland in the top flight on early November at 20:00 GMT.
Spurs: Spurs travel to Newcastle's ground on late October for their next round Carabao Cup tie against the Magpies.