Van de Ven Double Halts The Toffees' Run at Brand New Home Ground
The Dutch defender became the initial backline player to net twice in a English top-flight match for Tottenham since Jan Vertonghen in spring 2013.
At a glance
The Spurs defender heads home twice in opening period
Everton's defender has equalizer ruled after video check
Pape Matar Sarr scores final goal in dying moments
The defeat is the Merseyside club's first at their new ground
Micky van de Ven found the net twice as Tottenham extended their unbeaten run on the road in the top division and handed the Toffees their first defeat at Hill Dickinson Stadium.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having left Goodison Park behind after more than a century at the end of last season.
But Spurs captain Van de Ven pounced twice from corners in the opening 45 minutes to place their strong form at risk, and they were failed to mount a comeback before Pape Matar Sarr - set up by ex-Everton forward Richarlison - nodded in a final goal to seal the victory.
Jake O'Brien believed he had levelled the tally five minutes after Van de Ven's first goal, directing a powerful header past the Spurs keeper from an Everton corner.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while Vicario made a succession of fine stops to guarantee the London club went five away games without defeat in the English top flight.
But the video assistant referee intervened, instructing the match official to check the score on the screen and the referee ruled that Jack Grealish and Iliman Ndiaye were in offside positions and had impeded with the Tottenham goalkeeper.
The win moves the manager's side up to third in the division, a handful of points off north London rivals and leaders Arsenal.
Everton remain in 14th position and sit half a dozen points clear of the drop zone.
Tottenham analysis: The defender excels in duties at each end of pitch
Following a drab midweek performance in the Champions League against Monaco, where they mustered a only two shots on target, Frank opted for Randal Kolo Muani up front instead of former Toffees player the Brazilian.
The summer signing was failed to influence the game before being substituted for the substitute after 60 minutes on the pitch, but it emerged he wasn't needed in the end.
Centre-back Van de Ven converted into an offensive threat to be feared.
Tottenham's first goal came from a well-worked set-piece play, with Rodrigo Bentancur heading the ball back across the six-yard box for an unmarked the defender to score.
And Ven de Ven - filling in as skipper in Cristian Romero's unavailability - notched his next goal in added time as he rose above the England keeper to nod in.
Van de Ven was just as impressive in defence, combining well with his defensive colleague as the pair dealt superbly with the numerous deliveries thrown their way by Everton.
Toffees breakdown: Everton missing finishing touch
Everton's recent stadium had been a happy hunting ground, but it seems the novelty may have faded slightly and supporters headed to the gates after Sarr's third for Tottenham.
The break in the team's unbeaten home run will not be a major worry for the manager, but their attacking woes will be.
Beto and the other striker - the Toffees' pair of recognised centre-forwards - had netted just a single goal combined before Sunday's outing.
And they were unable to add to that poor tally on a damp and dreary evening on Merseyside.
Beto's form was summed up when he chose to bicycle-kick a clear chance from near the goal, even with having room and time 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. The majority of Everton's offensive moves came through the winger and Ndiaye, who relentlessly delivered dangerous crosses into the Tottenham box.
What next for both teams?
Everton: The team head to Sunderland in the top flight on early November at 8 PM.
Spurs: Spurs travel to St James' Park on late October for their next round Carabao Cup tie against Newcastle.