Micky van de Ven Double Ends Everton's Run at Brand New Stadium
The Dutch defender emerged as the initial backline player to score two goals in a English top-flight match for Tottenham since Jan Vertonghen in March 2013.
Match summary
Micky Van de Ven nods home twice in first half
Everton's defender has goal disallowed after video check
Senegalese midfielder scores third in 89th minute
The defeat is Everton's initial at Hill Dickinson Stadium
The Tottenham defender scored twice as Tottenham prolonged their unbeaten run in away games in the Premier League and handed the Toffees their first defeat at their new home.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having left their historic home behind after 133 years at the conclusion of last season.
But Tottenham's leader the Dutchman pounced on two occasions from corners in the first half to place their impressive record at risk, and they were unable to mount a comeback before the midfielder - assisted by ex-Everton forward Richarlison - headed home a third to put the game to bed.
The Everton defender believed he had equalized the tally a short while after the defender's first goal, glancing a bullet header past the Spurs keeper from an set-piece.
Beto, in the meantime, missed a handful of chances, 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, instructing the match official to check the goal on the screen and the official decided that Jack Grealish and the attacker were in an illegal position and had impeded with the Spurs keeper.
The win elevates the manager's team up to third in the division, a handful of points off north London rivals and leaders Arsenal.
Everton stay 14th and are six points clear of the relegation zone.
Tottenham analysis: The defender fulfils role at both ends of the field
Following a drab midweek display in the Champions League against the French side, where they managed a only attempts on goal, the manager opted for Randal Kolo Muani up front instead of former Toffees player Richarlison.
The summer signing was failed to make much of an impact before being substituted for Richarlison after 60 minutes on the pitch, but it emerged he wasn't needed in the end.
Centre-back the Dutchman converted into an offensive threat to be feared.
Tottenham's 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 score.
And the captain - stepping up as captain in Cristian Romero's unavailability - added his next goal in added time as he rose above Jordan Pickford to head home.
The Dutchman was equally outstanding in defence, partnering well with his defensive colleague as the duo handled superbly with the 34 crosses thrown their way by the opposition.
Everton analysis: Everton missing finishing touch
Everton's new home had been a happy hunting ground, but it appears the freshness may have faded somewhat and supporters flocked to the exits after the midfielder's third for Spurs.
The end in Everton's winning streak at home will not be a massive worry for David Moyes, but their striker situation will be.
Beto and Thierno Barry - the Everton's pair of established strikers - had scored only one league goal combined before Sunday's match.
And they were failed to contribute to that poor record on a wet and gloomy night on in Liverpool.
The striker's form was summed up when he chose to bicycle-kick a golden opportunity from near the goal, despite having room and opportunity to reposition for a more conventional shot that would have challenged Vicario.
Barry, as well, failed to make an impact after replacing the starter in the 65th minute.
It was not for a lack of opportunity. Most of the home side's attacks came through Grealish and the forward, who tirelessly delivered dangerous balls into the Spurs penalty area.
What next for these two sides?
The Toffees: Moyes' men head to the Stadium of Light in the top flight on Monday, 3 November at 8 PM.
Spurs: The London club go to Newcastle's ground on late October for their next round League Cup match against the Magpies.