Micky van de Ven Double Halts The Toffees' Run at New Stadium
Micky van de Ven became the first backline player to net two goals in a English top-flight match for Spurs since the Belgian defender in March 2013.
Match summary
The Spurs defender nods into the net two times in opening period
Everton's Jake O'Brien has goal disallowed after video check
Senegalese midfielder scores third in dying moments
The defeat is Everton's first at their new ground
Micky van de Ven found the net twice as Tottenham prolonged their unbeaten run in away games in the top division and delivered the Toffees their first defeat at their new home.
Everton were undefeated in their last five matches at their recently opened stadium at the dockside location, having left Goodison Park behind after 133 years at the end of last season.
But Tottenham's leader the Dutchman struck twice from set-pieces in the first half to place their strong form at jeopardy, and they were unable to mount a comeback before the midfielder - set up by former Toffees attacker Richarlison - nodded in a third to put the game to bed.
Jake O'Brien thought he had levelled the tally a short while after Van de Ven's opener, glancing a powerful header past the Spurs keeper from an Everton corner.
Beto, meanwhile, failed to convert a number of opportunities, while the Italian goalkeeper made a succession of fine saves to ensure Tottenham went five matches on the road unbeaten in the English top flight.
But the video assistant referee stepped in, instructing Craig Pawson to check the score on the screen and the official decided that Jack Grealish and the attacker were in offside positions 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 north London rivals and table-toppers Arsenal.
The Merseyside club stay 14th and are six points ahead of the drop zone.
Tottenham analysis: The defender excels in duties at each end of the field
Following a uninspiring midweek performance in the Champions League against the French side, where they mustered a only two shots on target, Frank opted for the French striker up front instead of ex-Everton forward Richarlison.
The new arrival was unable to influence the game before being replaced for the substitute after an hour on the field, but it emerged he wasn't needed in the final outcome.
Centre-back the Dutchman converted into an attacking force to be reckoned with.
Spurs' opening strike came from a cleverly executed set-piece play, with the midfielder directing the ball toward the face of goal for an unmarked the defender to score.
And the captain - stepping up as captain in Cristian Romero's unavailability - added his second in added time as he outjumped the England keeper to head home.
The Dutchman was equally impressive in defence, partnering effectively with his defensive colleague as the pair handled excellently with the numerous deliveries thrown their way by Everton.
Everton analysis: Everton lacking striker's instinct
The club's new home had been a happy hunting ground, but it appears the novelty may have faded somewhat and supporters headed to the gates after Sarr's final goal for Tottenham.
The end in Everton's winning streak at home won't be a major worry for David Moyes, but their striker situation are.
Beto and the other striker - the Everton's two established strikers - had scored just one league goal between them before Sunday's outing.
And they were unable to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's form was summed up when he opted to overhead kick a golden opportunity from near the goal, despite having space and opportunity to readjust for a simpler attempt that would have tested the keeper.
The substitute, too, was unable to make an impact after coming on for 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 threatening crosses into the Tottenham penalty area.
What next for these two sides?
The Toffees: Moyes' men travel to the Stadium of Light in the Premier League on Monday, 3 November at 8 PM.
Tottenham: Spurs travel to St James' Park on Wednesday, 29 October for their next round League Cup match against Newcastle.