Micky van de Ven Double Ends Everton's Run at Brand New Home Ground
The Dutch defender became the initial defender to net two goals in a English top-flight match for Tottenham since Jan Vertonghen in March 2013.
Match summary
Micky Van de Ven heads home two times in opening period
The home side's Jake O'Brien has goal disallowed after video check
Senegalese midfielder nets final goal in 89th minute
The defeat is Everton's initial at Hill Dickinson Stadium
The Tottenham defender scored twice as Tottenham prolonged their unbeaten run on the road in the Premier League and delivered Everton their initial loss at Hill Dickinson Stadium.
The Toffees were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having departed their historic home behind after 133 years at the conclusion of last season.
But Spurs captain the Dutchman pounced twice from set-pieces in the opening 45 minutes to place their impressive record at risk, and they were failed to turn it around before the midfielder - assisted by former Toffees attacker Richarlison - headed home a final goal to put the game to bed.
Jake O'Brien believed he had equalized the scores five minutes after Van de Ven's opener, directing a bullet header past the Spurs keeper from an Everton corner.
Beto, meanwhile, missed a handful of chances, while Vicario made a series of excellent stops to ensure Tottenham went five matches on the road unbeaten in the English top flight.
But the video assistant referee stepped in, advising Craig Pawson to review the score on the screen and the official decided that the winger and Iliman Ndiaye were in offside positions and had impeded with the Spurs keeper.
The win moves Thomas Frank's side up to third in the Premier League, five points off north London rivals and leaders the Gunners.
Everton remain in 14th position and are six points ahead of the drop zone.
Spurs breakdown: The defender excels in role at each end of pitch
Following a uninspiring weekday performance in the Champions League against the French side, where they managed a only attempts on goal, the manager opted for Randal Kolo Muani in attack instead of former Toffees player Richarlison.
The new arrival was failed to make much of an impact before being substituted for the substitute after 60 minutes on the field, but it emerged he wasn't needed in the end.
Defender the Dutchman converted into an attacking force to be feared.
Tottenham's first goal came from a well-worked set-piece play, with Rodrigo Bentancur directing the ball back across the face of goal for an unmarked Van de Ven to head home.
And the captain - filling in as skipper in the Argentine's unavailability - added his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
The Dutchman was equally outstanding in defensive duties, combining well with Kevin Danso as the duo dealt excellently with the numerous deliveries sent their way by the opposition.
Everton analysis: Everton missing striker's instinct
The club's new home had been a happy hunting ground, but it seems the novelty may have faded somewhat and supporters headed to the exits after the midfielder's third for Tottenham.
The break in Everton's winning streak at home will not be a massive worry for the manager, but their attacking woes will be.
The forward and the other striker - the Everton's two established centre-forwards - had netted only a single goal between them before the weekend's match.
And they were unable to contribute to that poor tally on a wet and gloomy night on Merseyside.
The striker's form was summed up when he opted to bicycle-kick a clear chance from near the goal, even with having room and time to reposition for a simpler shot that would have challenged Vicario.
Barry, too, failed to make an impact after coming on for the starter in the second half.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through the winger and Ndiaye, who tirelessly whipped threatening crosses into the Tottenham box.
Upcoming fixtures for both teams?
Everton: Moyes' men head to the Stadium of Light in the Premier League on early November at 20:00 GMT.
Tottenham: The London club travel to Newcastle's ground on Wednesday, 29 October for their fourth-round League Cup match against Newcastle.