Micky van de Ven Brace Ends Everton's Run at Brand New Stadium
The Dutch defender emerged as the first backline player to net twice in a Premier League match for Tottenham since Jan Vertonghen in spring 2013.
Match summary
The Spurs defender nods home two times in opening period
Everton's Jake O'Brien has goal disallowed after VAR review
Pape Matar Sarr scores third in dying moments
The defeat is the Merseyside club's first at Hill Dickinson Stadium
The Tottenham defender found the net on two occasions as Spurs extended their unbeaten run on the road in the top division and delivered Everton their first defeat at Hill Dickinson Stadium.
The Toffees 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 Van de Ven struck on two occasions from set-pieces in the first half to put their strong form at jeopardy, and they were failed to mount a comeback before the midfielder - set up by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
The Everton defender believed he had equalized the scores five minutes after Van de Ven's first goal, glancing a powerful header past the Spurs keeper from an Everton corner.
The Portuguese striker, meanwhile, missed a handful of opportunities, while Vicario made a series of excellent stops to guarantee the London club went five away games unbeaten in the Premier League.
But the video assistant referee intervened, instructing Craig Pawson to review the score on the pitchside monitor and the referee ruled that Jack Grealish and the attacker were in offside positions and had impeded with the Spurs keeper.
This victory moves the manager's side up to third in the division, a handful of points off local foes and leaders the Gunners.
Everton stay in 14th position and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: The defender fulfils duties at each end of pitch
After a uninspiring midweek display in the Champions League against the French side, where they managed a only attempts on goal, Frank chose the French striker in attack instead of former Toffees player the Brazilian.
The summer signing was unable to influence the game before being replaced for the substitute after an hour on the field, but it emerged he proved unnecessary in the end.
Defender the Dutchman converted 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 face of goal for an unmarked Van de Ven to score.
And Ven de Ven - filling in as skipper in Cristian Romero's absence - added 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, combining effectively with his defensive colleague as the pair dealt superbly with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees lacking finishing touch
Everton's recent stadium had been a happy hunting ground, but it seems the freshness may have faded slightly and supporters headed to the gates after the midfielder's third for Tottenham.
The break in the team's winning streak at home will not be a major concern for David Moyes, but their attacking woes are.
The forward and Thierno Barry - the Everton's pair of established strikers - had scored only one league goal between them before the weekend's match.
And they were unable to contribute to that miserable record on a wet and gloomy night on Merseyside.
Beto's performance was epitomized when he opted to bicycle-kick a clear chance from near the goal, even with having space and opportunity to readjust for a simpler attempt that would have tested the keeper.
The substitute, too, failed to make an impact after coming on for the starter in the second half.
It wasn't for a lack of opportunity. The majority of Everton's offensive moves came through Grealish and Ndiaye, who tirelessly delivered dangerous balls into the Spurs penalty area.
What next for these two sides?
The Toffees: Moyes' men travel to the Stadium of Light in the Premier League on Monday, 3 November at 20:00 GMT.
Spurs: The London club travel to Newcastle's ground on late October for their next round Carabao Cup match against the Magpies.