Micky van de Ven Brace Halts The Toffees' Run at New Home Ground
The Dutch defender emerged as the first defender to score two goals in a English top-flight match for Spurs since the Belgian defender in spring 2013.
At a glance
The Spurs defender nods into the net two times in opening period
The home side's defender has goal disallowed after video check
Senegalese midfielder nets third in 89th minute
The defeat is Everton's first at Hill Dickinson Stadium
Micky van de Ven found the net twice as Spurs extended their unbeaten run on the road in the Premier League and delivered the Toffees their first defeat at Hill Dickinson Stadium.
Everton were unbeaten in their last five matches at their recently opened stadium at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the end of last season.
But Tottenham's leader the Dutchman pounced twice from set-pieces in the first half to put their strong form at jeopardy, and they were failed to mount a comeback before the midfielder - assisted by ex-Everton forward Richarlison - headed home a final goal to seal the victory.
Jake O'Brien thought he had levelled the scores five minutes after Van de Ven's opener, directing a powerful header past Guglielmo Vicario from an set-piece.
The Portuguese striker, meanwhile, failed to convert a handful of opportunities, while the Italian goalkeeper made a series of fine stops to guarantee Tottenham went five away games without defeat in the English top flight.
But the VAR intervened, instructing Craig Pawson to review the goal on the screen and the official ruled that Jack Grealish and Iliman Ndiaye were in offside positions and had impeded with the Tottenham goalkeeper.
This victory moves Thomas Frank's team into third place in the Premier League, a handful of points off local foes and table-toppers the Gunners.
The Merseyside club remain 14th and sit half a dozen points ahead of the drop zone.
Tottenham analysis: Van de Ven fulfils role at each end of the field
Following a uninspiring weekday performance in the European competition against the French side, where they mustered a mere attempts on target, Frank 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 pitch, but it turns out he wasn't needed in the final outcome.
Defender Van de Ven converted into an attacking force to be reckoned with.
Spurs' first goal came from a cleverly executed corner routine, with Rodrigo Bentancur directing the ball toward the six-yard box for an free Van de Ven to head home.
And the captain - stepping up as skipper in Cristian Romero's unavailability - notched his next goal in first-half stoppage time as he rose above Jordan Pickford to head home.
Van de Ven was just as outstanding in defensive duties, combining well with Kevin Danso 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 fortress, but it seems the freshness may have faded somewhat and fans headed to the gates after the midfielder's third for Spurs.
The end in Everton's winning streak at home will not be a massive concern for David Moyes, but their attacking woes will be.
The forward and Thierno Barry - the Everton's pair of established centre-forwards - had netted just one league goal combined before Sunday's outing.
And they were unable to add to that miserable record on a wet and gloomy evening on Merseyside.
Beto's form was epitomized when he opted to overhead kick a clear chance from near the goal, even with having room and opportunity to readjust for a more conventional attempt that would have challenged Vicario.
The substitute, as well, failed to influence the game after replacing the starter in the second half.
It wasn't for a shortage of chance. Most of the home side's attacks came through Grealish and Ndiaye, who tirelessly delivered dangerous crosses into the Tottenham box.
What next for these two sides?
The Toffees: The team head to the Stadium of Light in the Premier League on early November at 20:00 GMT.
Spurs: The London club travel to Newcastle's ground on Wednesday, 29 October for their next round League Cup tie against the Magpies.