Micky van de Ven Brace Halts The Toffees' Run at Brand New Stadium
The Dutch defender emerged as the first backline player to net twice in a Premier League match for Spurs since the Belgian defender in spring 2013.
Match summary
The Spurs defender heads into the net two times in opening period
The home side's Jake O'Brien has equalizer ruled after VAR review
Pape Matar Sarr nets third in 89th minute
This loss is Everton's first at their new ground
Micky van de Ven found the net on two occasions as Tottenham prolonged their unbeaten run in away games in the top division and handed the Toffees their initial loss at their new home.
Everton were unbeaten in their five previous fixtures 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 the Dutchman pounced on two occasions from set-pieces in the first half to put their impressive record at jeopardy, and they were failed to mount a comeback before Pape Matar Sarr - set up by former Toffees attacker the Brazilian - headed home a final goal to seal the victory.
Jake O'Brien believed he had levelled the scores five minutes after Van de Ven's first goal, directing a bullet header past the Spurs keeper from an Everton corner.
Beto, meanwhile, failed to convert a handful of opportunities, while the Italian goalkeeper made a succession of excellent saves to ensure Tottenham went five matches on the road without defeat in the Premier League.
But the VAR intervened, instructing the match official to review the goal on the screen and the referee decided that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Spurs keeper.
The win elevates Thomas Frank's team into third place in the Premier League, a handful of points off north London rivals and table-toppers Arsenal.
Everton stay 14th and are six points clear of the drop zone.
Tottenham analysis: Van de Ven excels in role at each end of pitch
After a uninspiring weekday display in the European competition against the French side, where they managed a only attempts on goal, Frank opted for Randal Kolo Muani in attack instead of ex-Everton forward the Brazilian.
The summer signing was unable to influence the game before being substituted for the substitute after 60 minutes on the pitch, but it turns out he proved unnecessary in the end.
Centre-back the Dutchman transformed into an attacking force to be feared.
Spurs' first goal came from a cleverly executed set-piece play, with the midfielder directing the ball back across the six-yard box for an free Van de Ven to score.
And the captain - stepping up as skipper in the Argentine's unavailability - notched his second in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was equally outstanding in defensive duties, partnering well with his defensive colleague as the duo dealt excellently with the numerous deliveries sent their way by Everton.
Everton analysis: Toffees missing finishing touch
The club's recent stadium had been a happy hunting ground, but it appears the freshness may have faded somewhat and fans flocked to the exits after the midfielder's final goal for Tottenham.
The break in Everton's unbeaten home run will not be a major concern for David Moyes, but their striker situation are.
Beto and the other striker - the Everton's pair of recognised centre-forwards - had scored just one league goal combined before the weekend's match.
And they were unable to add to that miserable tally on a damp and dreary evening on in Liverpool.
Beto's form was summed up when he opted to overhead kick a clear chance from close range, despite having space and opportunity to readjust for a simpler attempt that would have tested the keeper.
The substitute, as well, was unable to make an impact after coming on for the starter in the 65th minute.
It wasn't for a lack of chance. The majority of the home side's offensive moves came through Grealish and Ndiaye, who relentlessly delivered threatening crosses into the Spurs penalty area.
Upcoming fixtures for these two sides?
The Toffees: Moyes' men head to the Stadium of Light in the top flight on Monday, 3 November at 20:00 GMT.
Spurs: The London club go to Newcastle's ground on late October for their fourth-round League Cup match against Newcastle.