Micky van de Ven Brace Halts The Toffees' Run at New Home Ground
The Dutch defender became the first defender to net two goals in a English top-flight match for Tottenham since the Belgian defender in spring 2013.
At a glance
Micky Van de Ven heads home two times in opening period
The home side's defender has equalizer ruled after VAR review
Pape Matar Sarr scores third in dying moments
The defeat is Everton's initial at their new ground
Micky van de Ven found the net twice as Tottenham prolonged their unbeaten run on the road in the top division and delivered Everton their initial loss at their new home.
The Toffees were unbeaten in their last five matches at their new ground at Bramley-Moore Dock, having left Goodison Park behind after more than a century at the end of last season.
But Spurs captain the Dutchman pounced twice 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 - set up by former Toffees attacker Richarlison - nodded in a final goal to seal the victory.
Jake O'Brien believed he had equalized the scores a short while after Van de Ven's opener, directing a bullet header past Guglielmo Vicario from an set-piece.
Beto, meanwhile, failed to convert a handful of opportunities, while the Italian goalkeeper made a succession of fine saves to ensure the London club went five away games without defeat in the Premier League.
But the VAR intervened, instructing the match official to review the goal on the screen and the official ruled that the winger and Iliman Ndiaye were in an illegal position and had impeded with the Spurs keeper.
The win moves Thomas Frank's side up to third in the Premier League, a handful of points off north London rivals and leaders the Gunners.
The Merseyside club stay 14th and sit half a dozen points clear of the drop zone.
Tottenham analysis: The defender excels in role at both ends of the field
After a drab midweek performance in the European competition against the French side, where they mustered a mere attempts on target, the manager chose the French striker up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to influence the game before being substituted for the substitute after an hour on the field, but it emerged he wasn't needed in the end.
Centre-back the Dutchman converted into an offensive threat to be reckoned with.
Tottenham's first goal came from a well-worked set-piece play, with the midfielder directing the ball back across the six-yard box for an unmarked the defender to score.
And the captain - stepping up as captain in Cristian Romero's unavailability - notched his second in first-half stoppage time as he outjumped the England keeper to nod in.
Van de Ven was just as impressive in defensive duties, partnering effectively with his defensive colleague as the duo dealt excellently with the numerous deliveries sent their way by Everton.
Everton analysis: Everton lacking striker's instinct
The club's recent stadium had been a fortress, but it seems the freshness may have faded slightly and supporters headed to the gates after the midfielder's third for Spurs.
The end in Everton's unbeaten home run will not be a massive worry for David Moyes, but their attacking woes are.
Beto and Thierno Barry - the Everton's two recognised strikers - had netted only one league goal combined before Sunday's match.
And they were failed to contribute to that poor tally on a wet and gloomy evening on Merseyside.
Beto's form was epitomized when he chose to bicycle-kick a golden opportunity from near the goal, despite having room and time to readjust for a more conventional shot that would have challenged the keeper.
The substitute, too, failed to influence the game after replacing the starter in the 65th minute.
It wasn't for a shortage of opportunity. Most of Everton's attacks came through Grealish and Ndiaye, who relentlessly delivered dangerous balls into the Spurs penalty area.
What next for these two sides?
Everton: Moyes' men head to Sunderland in the top flight on Monday, 3 November at 20:00 GMT.
Tottenham: Spurs travel to Newcastle's ground on late October for their fourth-round League Cup tie against the Magpies.