Micky van de Ven Brace Ends The Toffees' Run at Brand New Stadium
The Dutch defender emerged as the first backline player to score twice in a Premier League game for Spurs since the Belgian defender in spring 2013.
At a glance
The Spurs defender heads home two times in first half
Everton's Jake O'Brien has equalizer disallowed after VAR review
Senegalese midfielder nets final goal in 89th minute
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven found the net on two occasions as Spurs extended their unbeaten run in away games in the top division and delivered Everton their initial loss at their new home.
Everton were unbeaten in their last five matches at their new ground at Bramley-Moore Dock, having departed Goodison Park behind after more than a century at the end of last season.
But Spurs captain Van de Ven struck twice from set-pieces in the opening 45 minutes to put their strong form at jeopardy, and they were unable to mount a comeback before Pape Matar Sarr - set up by former Toffees attacker the Brazilian - nodded in a third to seal the victory.
Jake O'Brien believed he had levelled the tally a short while after Van de Ven's opener, directing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, in the meantime, failed to convert a handful of chances, while Vicario made a series of fine stops to guarantee the London club went five away games without defeat in the Premier League.
But the VAR stepped in, advising the match official to check the score on the screen and the official ruled that the winger and Iliman Ndiaye were in an illegal position and had interfered with the Spurs keeper.
The win elevates Thomas Frank's team up to third in the Premier League, a handful of points off north London rivals and leaders the Gunners.
The Merseyside club remain 14th and sit six points clear of the drop zone.
Spurs breakdown: The defender excels in role at both ends of the field
After a uninspiring midweek display in the Champions League against Monaco, where they managed a only two shots on goal, Frank chose Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The new arrival was failed to influence the game before being replaced for the substitute after 60 minutes on the pitch, but it turns out he wasn't needed in the final outcome.
Centre-back Van de Ven converted into an offensive threat to be feared.
Spurs' opening strike came from a well-worked corner routine, with Rodrigo Bentancur directing the ball toward the six-yard box for an free Van de Ven to head home.
And the captain - filling in as captain in Cristian Romero's unavailability - notched his next goal in first-half stoppage time as he outjumped the England keeper to nod in.
The Dutchman was just as outstanding in defence, combining effectively with Kevin Danso as the pair handled excellently with the 34 crosses sent their way by Everton.
Everton analysis: Toffees missing finishing touch
The club's new home had been a happy hunting ground, but it seems the novelty may have faded slightly and fans headed to the exits after Sarr's third for Tottenham.
The end in Everton's winning streak at home won't be a major concern for David Moyes, but their striker situation will be.
The forward and Thierno Barry - the Everton's two established centre-forwards - had scored just a single goal between them before the weekend's outing.
And they were unable to add to that miserable tally on a damp and dreary evening on in Liverpool.
Beto's performance was epitomized when he opted to overhead kick a clear chance from near the goal, even with having space and time to readjust for a more conventional attempt that would have challenged Vicario.
The substitute, as well, was unable to influence the game after replacing Beto in the 65th minute.
It was not for a lack of opportunity. The majority of Everton's attacks came through the winger and Ndiaye, who tirelessly whipped dangerous crosses into the Spurs penalty area.
Upcoming fixtures for these two sides?
The Toffees: 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 Wednesday, 29 October for their fourth-round League Cup match against Newcastle.