Micky van de Ven Double Ends The Toffees' Run at New Home Ground
Micky van de Ven became the first defender to score two goals in a Premier League match for Spurs since Jan Vertonghen in March 2013.
Key points
The Spurs defender heads home two times in opening period
The home side's defender has goal ruled after VAR review
Senegalese midfielder scores third in 89th minute
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven scored twice as Tottenham extended their winning streak on the road in the Premier League and handed Everton their initial loss at their new home.
Everton were undefeated in their last five matches at their new ground at the dockside location, having left Goodison Park behind after more than a century at the conclusion 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 unable to mount a comeback before the midfielder - set up by ex-Everton forward the Brazilian - headed home a third to put the game to bed.
The Everton defender thought he had levelled the tally a short while after the defender's opener, directing a powerful header past the Spurs keeper from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while the Italian goalkeeper made a succession of fine saves to ensure the London club went five away games unbeaten in the Premier League.
But the video assistant referee stepped in, instructing Craig Pawson to review the goal on the pitchside monitor and the official ruled that Jack Grealish and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
The win elevates the manager's team up to third in the Premier League, five points off north London rivals and leaders the Gunners.
Everton stay 14th and sit half a dozen points clear of the relegation zone.
Tottenham analysis: The defender fulfils duties at both ends of the field
After a drab weekday performance in the Champions League against Monaco, where they managed a mere two shots on target, the manager opted for the French striker up front instead of former Toffees player the Brazilian.
The new arrival was unable to influence the game before being replaced for the substitute after an hour on the field, but it emerged he wasn't needed in the end.
Centre-back Van de Ven converted into an offensive threat to be reckoned with.
Spurs' first goal came from a cleverly executed set-piece play, with Rodrigo Bentancur heading the ball back across the face of goal for an free Van de Ven to score.
And Ven de Ven - filling in as skipper in Cristian Romero's absence - notched his next goal in added time as he outjumped the England keeper to head home.
The Dutchman was just as impressive in defence, combining well with Kevin Danso as the duo dealt superbly with the 34 crosses thrown their way by Everton.
Toffees breakdown: Toffees lacking finishing touch
The club's new home had been a happy hunting ground, but it seems the freshness may have faded slightly and fans headed to the exits after the midfielder's final goal for Tottenham.
The break in the team's unbeaten home run will not be a major concern for David Moyes, but their striker situation are.
Beto and Thierno Barry - the Toffees' pair of recognised centre-forwards - had netted only a single goal combined before Sunday's outing.
And they were failed to contribute to that miserable record on a wet and gloomy evening on Merseyside.
Beto's performance was summed up when he opted to overhead kick a golden opportunity from close range, even with having room and opportunity to reposition for a more conventional attempt that would have tested the keeper.
Barry, too, was unable to influence the game after replacing the starter in the 65th minute.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through the winger and Ndiaye, who tirelessly delivered threatening crosses into the Spurs box.
Upcoming fixtures for both teams?
Everton: The team head to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Tottenham: The London club travel to Newcastle's ground on Wednesday, 29 October for their next round League Cup match against the Magpies.