Micky van de Ven Brace Ends The Toffees' Unbeaten Streak at Brand New Stadium
The Dutch defender became the first backline player to score twice in a Premier League game for Spurs since the Belgian defender in March 2013.
At a glance
Micky Van de Ven nods into the net two times in first half
The home side's defender has goal disallowed after VAR review
Pape Matar Sarr scores third in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
The Tottenham defender scored on two occasions as Spurs prolonged their unbeaten run in away games in the Premier League and delivered Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their new ground at the dockside location, having left Goodison Park behind after more than a century at the end of last season.
But Tottenham's leader Van de Ven pounced on two occasions from corners in the opening 45 minutes to place their impressive record at risk, and they were unable to mount a comeback before Pape Matar Sarr - assisted by former Toffees attacker the Brazilian - headed home a third to put the game to bed.
The Everton defender thought he had levelled the tally a short while after the defender's first goal, directing a powerful header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, in the meantime, missed a number of opportunities, while Vicario made a succession of excellent saves to ensure the London club went five away games without defeat in the Premier League.
But the video assistant referee stepped in, advising Craig Pawson to review the score on the screen and the referee decided that Jack Grealish and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
The win moves Thomas Frank's team into third place in the division, five points off local foes and leaders the Gunners.
Everton remain in 14th position and sit half a dozen points ahead of the drop zone.
Spurs breakdown: Van de Ven fulfils role at each end of pitch
After a drab weekday performance in the European competition against Monaco, where they managed a only attempts on goal, the manager chose Randal Kolo Muani up front instead of former Toffees player Richarlison.
The new arrival was failed to make much of an impact before being substituted for the substitute after 60 minutes on the pitch, but it emerged he wasn't needed in the final outcome.
Defender the Dutchman converted into an offensive threat to be reckoned with.
Spurs' first goal came from a well-worked corner routine, with Rodrigo Bentancur directing the ball toward the six-yard box for an free the defender to score.
And the captain - filling in as skipper in Cristian Romero's absence - added his next goal in added time as he outjumped the England keeper to nod in.
Van de Ven was equally impressive in defence, combining effectively with Kevin Danso as the pair dealt excellently with the 34 crosses thrown their way by Everton.
Everton analysis: Everton missing striker's instinct
The club's recent stadium had been a happy hunting ground, but it seems the novelty may have worn off slightly and fans flocked to the gates after Sarr's third for Tottenham.
The break in Everton's unbeaten home run won't be a major concern for the manager, but their attacking woes will be.
Beto and the other striker - the Everton's two recognised strikers - had scored just a single goal combined before Sunday's outing.
And they were failed to contribute to that poor record on a wet and gloomy night on Merseyside.
Beto's performance was epitomized when he chose to bicycle-kick a golden opportunity from close range, despite having space and time to reposition for a more conventional shot that would have tested the keeper.
The substitute, as well, was unable to make an impact after replacing Beto in the second half.
It was not for a lack of opportunity. Most of the home side's offensive moves came through the winger and Ndiaye, who relentlessly delivered dangerous balls into the Tottenham box.
What next for both teams?
The Toffees: Moyes' men travel to Sunderland in the top flight on early November at 20:00 GMT.
Tottenham: The London club go to St James' Park on late October for their fourth-round League Cup match against Newcastle.