Micky van de Ven Double Ends Everton's Run at Brand New Stadium
Micky van de Ven emerged as the initial defender to net twice in a Premier League match for Spurs since the Belgian defender in March 2013.
Match summary
The Spurs defender nods into the net two times in first half
Everton's Jake O'Brien has goal ruled after video check
Pape Matar Sarr scores third in dying moments
The defeat is Everton's first at their new ground
The Tottenham defender found the net on two occasions as Spurs extended 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 recently opened stadium at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the end of last season.
But Spurs captain the Dutchman pounced twice from corners in the opening 45 minutes to put their impressive record at risk, and they were unable to mount a comeback before the midfielder - assisted by former Toffees attacker the Brazilian - headed home a final goal to seal the victory.
The Everton defender thought he had levelled the scores five minutes after the defender's first goal, directing a powerful header past Guglielmo Vicario from an set-piece.
The Portuguese striker, in the meantime, failed to convert a number of opportunities, while the Italian goalkeeper made a succession of excellent saves to ensure Tottenham went five away games without defeat in the Premier League.
But the video assistant referee intervened, advising Craig Pawson to check the goal on the screen and the official decided that the winger and the attacker were in offside positions and had interfered with the Tottenham goalkeeper.
The win elevates the manager's team up to third in the division, five points off local foes and leaders Arsenal.
The Merseyside club stay 14th and sit half a dozen points clear of the drop zone.
Tottenham analysis: The defender excels in duties at each end of pitch
After a uninspiring midweek display in the Champions League against the French side, where they mustered a mere attempts on target, Frank chose Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being substituted for the substitute after 60 minutes on the field, but it turns out he wasn't needed in the final outcome.
Centre-back Van de Ven transformed into an offensive threat to be feared.
Tottenham's opening strike came from a cleverly executed corner routine, with the midfielder directing the ball toward the six-yard box for an unmarked Van de Ven to head home.
And Ven de Ven - stepping up as captain in Cristian Romero's absence - notched his next goal in added time as he outjumped Jordan Pickford to head home.
Van de Ven was equally outstanding in defence, partnering well with his defensive colleague as the pair handled excellently with the 34 crosses thrown their way by Everton.
Everton analysis: Everton missing finishing touch
Everton's new home had been a happy hunting ground, but it seems the novelty may have faded somewhat and fans flocked to the gates after the midfielder's final goal for Spurs.
The end in Everton's unbeaten home run will not be a major worry for David Moyes, but their attacking woes are.
Beto and Thierno Barry - the Everton's two recognised strikers - had scored just a single goal combined before Sunday's outing.
And they were unable to add to that poor tally on a damp and dreary evening on Merseyside.
The striker's performance was summed up when he chose to bicycle-kick a golden opportunity from close range, despite having space and opportunity to readjust for a simpler shot that would have tested the keeper.
The substitute, as well, was unable to make an impact after coming on for the starter in the second half.
It was not for a shortage of opportunity. Most of the home side's attacks came through the winger and the forward, who tirelessly whipped threatening crosses into the Tottenham 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.
Tottenham: Spurs travel to St James' Park on late October for their fourth-round Carabao Cup tie against Newcastle.