Micky van de Ven Brace Halts The Toffees' Run at Brand New Stadium
The Dutch defender emerged as the first backline player to score two goals in a Premier League match for Spurs since the Belgian defender in spring 2013.
Match summary
Micky Van de Ven heads home twice in opening period
The home side's defender has goal ruled after video check
Pape Matar Sarr nets third in dying moments
This loss is Everton's first at Hill Dickinson Stadium
The Tottenham defender scored on two occasions as Spurs prolonged their winning streak in away games in the top division and handed the Toffees their first defeat at Hill Dickinson Stadium.
The Toffees were unbeaten in their five previous fixtures at their new ground at the dockside location, having departed their historic home behind after more than a century at the end of last season.
But Tottenham's leader the Dutchman struck on two occasions from corners in the opening 45 minutes to put their impressive record at risk, and they were failed to turn it around before the midfielder - assisted by ex-Everton forward the Brazilian - nodded in a third to seal the victory.
Jake O'Brien thought he had equalized the scores a short while after Van de Ven's opener, glancing a powerful header past Guglielmo Vicario from an Everton corner.
The Portuguese striker, meanwhile, missed a number of opportunities, while Vicario made a series of fine stops to guarantee Tottenham went five matches on the road unbeaten in the Premier League.
But the video assistant referee stepped in, instructing Craig Pawson to check the goal on the pitchside monitor and the official decided that Jack Grealish and Iliman Ndiaye were in offside positions and had interfered with the Spurs keeper.
The win moves Thomas Frank's team into third place in the division, a handful of points off local foes and table-toppers Arsenal.
The Merseyside club stay 14th and are half a dozen points clear of the relegation zone.
Tottenham analysis: Van de Ven fulfils role at each end of the field
After a drab midweek performance in the European competition against Monaco, where they mustered a only attempts on goal, Frank chose Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was unable to make much of an impact before being replaced for Richarlison after 60 minutes on the field, but it emerged he proved unnecessary in the end.
Centre-back the Dutchman converted into an offensive threat to be feared.
Tottenham's opening strike came from a cleverly executed set-piece play, with Rodrigo Bentancur heading the ball toward the face of goal for an unmarked Van de Ven to score.
And Ven de Ven - filling in as captain in the Argentine's absence - notched his second in added time as he outjumped Jordan Pickford to nod in.
The Dutchman was just as outstanding in defensive duties, partnering effectively with Kevin Danso as the pair dealt superbly with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees missing striker's instinct
The club's recent stadium had been a happy hunting ground, but it seems the novelty may have worn off somewhat and supporters flocked to the gates after the midfielder's final goal for Tottenham.
The end in the team's winning streak at home won't be a massive concern for the manager, but their striker situation will be.
The forward and Thierno Barry - the Everton's pair of established centre-forwards - had scored just one league goal between them before the weekend's match.
And they were failed to add to that poor record on a damp and dreary night on Merseyside.
The striker's performance was epitomized when he chose to overhead kick a clear chance from near the goal, despite having space and time to reposition for a more conventional shot that would have challenged Vicario.
The substitute, too, was unable to influence the game after coming on for Beto in the second half.
It was not for a lack of chance. Most of Everton's attacks came through Grealish and the forward, who relentlessly delivered dangerous crosses into the Tottenham box.
Upcoming fixtures for these two sides?
The Toffees: Moyes' men head to the Stadium of Light in the Premier League on early November at 20:00 GMT.
Spurs: Spurs go to St James' Park on late October for their next round League Cup match against Newcastle.