Van de Ven Double Ends The Toffees' Run at New Home Ground
Micky van de Ven became the first defender to net twice in a English top-flight game for Spurs since Jan Vertonghen in March 2013.
At a glance
The Spurs defender nods into the net twice in opening period
The home side's defender has equalizer ruled after video check
Senegalese midfielder scores final goal in dying moments
This loss is Everton's first at their new ground
The Tottenham defender scored on two occasions as Tottenham extended their unbeaten run in away games in the Premier League and handed Everton their first defeat at Hill Dickinson Stadium.
Everton were undefeated in their last five matches at their new ground at the dockside location, having departed Goodison Park behind after 133 years at the end of the previous campaign.
But Tottenham's leader the Dutchman struck on two occasions from set-pieces in the opening 45 minutes to put their strong form at risk, and they were unable to mount a comeback before the midfielder - set up by ex-Everton forward Richarlison - headed home a third to put the game to bed.
Jake O'Brien thought he had levelled the tally five minutes after the defender's opener, glancing a bullet header past Guglielmo Vicario from an set-piece.
Beto, in the meantime, failed to convert a handful of chances, while the Italian goalkeeper made a succession of fine saves to guarantee the London club went five matches on the road without defeat in the Premier League.
But the video assistant referee intervened, advising Craig Pawson to check the score on the screen and the official decided that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Spurs keeper.
The win moves the manager's side into third place in the Premier League, a handful of points off local foes and leaders the Gunners.
Everton stay in 14th position and sit half a dozen points ahead of the drop zone.
Spurs breakdown: Van de Ven fulfils role at each end of pitch
Following a uninspiring midweek performance in the Champions League against Monaco, where they mustered a only two shots on target, Frank opted for the French striker up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to make much of an impact before being replaced for the substitute after an hour on the pitch, but it emerged he wasn't needed in the end.
Defender the Dutchman converted into an attacking force to be reckoned with.
Spurs' first goal came from a cleverly executed corner routine, with Rodrigo Bentancur heading the ball toward the face of goal for an free the defender to head home.
And the captain - filling in as skipper in Cristian Romero's absence - notched his second in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was just as outstanding in defensive duties, combining well with his defensive colleague as the duo dealt excellently with the 34 crosses sent their way by Everton.
Toffees breakdown: Everton missing finishing touch
Everton's recent stadium had been a fortress, but it appears the novelty may have worn off somewhat and supporters flocked to the exits after the midfielder's third for Tottenham.
The end in the team's winning streak at home won't be a major concern for the manager, but their attacking woes will be.
The forward and Thierno Barry - the Everton's pair of recognised strikers - had netted only one league goal between them before the weekend's outing.
And they were failed to contribute to that poor record on a wet and gloomy night on in Liverpool.
The striker's form was summed up when he opted to overhead kick a clear chance from close range, despite having room and time to readjust for a simpler attempt that would have tested Vicario.
Barry, as well, failed to make an impact after replacing Beto in the second half.
It wasn't for a lack of chance. The majority of Everton's offensive moves came through Grealish and the forward, who relentlessly delivered dangerous crosses into the Spurs box.
What next for both teams?
The Toffees: The team head to Sunderland in the top flight on Monday, 3 November at 8 PM.
Spurs: Spurs go to Newcastle's ground on late October for their fourth-round League Cup tie against the Magpies.