Van de Ven Brace Halts Everton's Run at New Home Ground
The Dutch defender became the first backline player to net two goals in a English top-flight game for Spurs since Jan Vertonghen in spring 2013.
At a glance
The Spurs defender heads into the net two times in opening period
Everton's defender has goal ruled after VAR review
Pape Matar Sarr nets final goal in 89th minute
This loss is Everton's initial at their new ground
The Tottenham defender found the net on two occasions as Tottenham extended their winning streak in away games in the Premier League and handed the Toffees their initial loss at Hill Dickinson Stadium.
Everton were unbeaten in their five previous fixtures at their new ground at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the end of the previous campaign.
But Tottenham's leader Van de Ven pounced twice from corners in the first half to put their impressive record at risk, and they were failed to turn it around before the midfielder - set up by former Toffees attacker the Brazilian - nodded in a third to put the game to bed.
Jake O'Brien believed he had levelled the scores five minutes after the defender's first goal, directing a bullet header past the Spurs keeper from an Everton corner.
The Portuguese striker, in the meantime, failed to convert a number of opportunities, while the Italian goalkeeper made a succession of excellent stops to guarantee Tottenham went five matches on the road unbeaten in the Premier League.
But the video assistant referee stepped in, advising Craig Pawson to review the goal on the pitchside monitor and the official ruled that the winger and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
The win elevates the manager's team into third place in the Premier League, a handful of points off north London rivals and table-toppers the Gunners.
Everton stay in 14th position and sit six points clear of the relegation zone.
Tottenham analysis: The defender excels in role at both ends of the field
After a drab midweek display in the Champions League against Monaco, where they managed a only attempts on target, Frank chose Randal Kolo Muani up front instead of former Toffees player Richarlison.
The summer signing was unable to make much of an impact before being substituted for Richarlison after 60 minutes on the field, but it emerged he proved unnecessary in the end.
Centre-back Van de Ven converted into an offensive threat to be feared.
Spurs' opening strike came from a well-worked set-piece play, with Rodrigo Bentancur directing the ball toward the face of goal for an unmarked Van de Ven to head home.
And Ven de Ven - filling in as captain in Cristian Romero's unavailability - notched his second in first-half stoppage time as he rose above Jordan Pickford to nod in.
Van de Ven was just as impressive in defensive duties, combining well with Kevin Danso as the pair dealt superbly with the 34 crosses thrown their way by Everton.
Toffees breakdown: Everton lacking finishing touch
The club's new home had been a fortress, but it appears the novelty may have faded slightly and fans headed to the gates after the midfielder's third for Tottenham.
The break in Everton's unbeaten home run won't be a massive concern for David Moyes, but their striker situation are.
The forward and Thierno Barry - the Toffees' two recognised strikers - had scored just one league goal combined before the weekend's outing.
And they were failed to contribute to that poor record on a damp and dreary night on Merseyside.
The striker's form was summed up when he opted to bicycle-kick a golden opportunity from close range, even with having room and time to reposition for a simpler attempt that would have tested the keeper.
Barry, too, failed to influence the game after coming on for the starter in the 65th minute.
It was not for a lack of chance. Most of Everton's attacks came through Grealish and the forward, who relentlessly whipped dangerous crosses into the Tottenham box.
What next for both teams?
The Toffees: Moyes' men head to the Stadium of Light in the top flight on Monday, 3 November at 20:00 GMT.
Spurs: The London club go to St James' Park on Wednesday, 29 October for their next round Carabao Cup match against the Magpies.