Micky van de Ven Double Ends Everton's Run at New Stadium
Micky van de Ven emerged as the initial defender to score twice in a English top-flight game for Spurs since the Belgian defender in March 2013.
Match summary
Micky Van de Ven heads into the net twice in first half
Everton's Jake O'Brien has goal ruled after VAR review
Pape Matar Sarr nets third in dying moments
This loss is the Merseyside club's initial at their new ground
Micky van de Ven scored twice as Spurs prolonged their unbeaten run on the road in the Premier League and delivered Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their new ground at Bramley-Moore Dock, having left Goodison Park behind after 133 years at the end of last season.
But Tottenham's leader Van de Ven pounced on two occasions from corners in the opening 45 minutes to put their impressive record at jeopardy, and they were unable to turn it around before the midfielder - assisted by former Toffees attacker Richarlison - nodded in a third to seal the victory.
The Everton defender thought he had levelled the tally a short while after the defender's first goal, glancing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, failed to convert a handful of chances, while Vicario made a series of fine stops to ensure the London club went five matches on the road without defeat in the Premier League.
But the VAR intervened, advising the match official to check the goal on the pitchside monitor and the referee ruled that Jack Grealish and the attacker were in offside positions and had impeded with the Tottenham goalkeeper.
The win moves Thomas Frank's team into third place in the Premier League, five points off local foes and leaders the Gunners.
Everton stay 14th and are six points ahead of the relegation 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 chose the French striker in attack instead of ex-Everton forward the Brazilian.
The new arrival was failed to make much of an impact before being replaced for Richarlison after 60 minutes on the pitch, but it emerged he wasn't needed in the end.
Defender Van de Ven transformed into an offensive threat to be reckoned with.
Spurs' first goal came from a cleverly executed corner routine, with Rodrigo Bentancur heading the ball toward the six-yard box for an unmarked the defender to head home.
And Ven de Ven - filling in as skipper in Cristian Romero's unavailability - notched his next goal in added time as he outjumped Jordan Pickford to head home.
Van de Ven was equally impressive in defensive duties, combining effectively with his defensive colleague as the duo handled superbly with the 34 crosses thrown their way by Everton.
Everton analysis: Toffees lacking finishing touch
The club's recent stadium had been a happy hunting ground, but it seems the freshness may have faded somewhat and fans flocked to the gates after Sarr's third for Spurs.
The end in the team'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 scored only a single goal combined before Sunday's match.
And they were unable to add to that poor tally on a damp and dreary evening on Merseyside.
Beto's performance was summed up when he chose to overhead kick a clear chance from close range, despite having room and time to reposition for a simpler shot that would have challenged Vicario.
Barry, as well, was unable to make an impact after coming on for Beto in the 65th minute.
It was not for a lack of opportunity. The majority of the home side's offensive moves came through the winger and Ndiaye, who tirelessly delivered dangerous balls into the Spurs penalty area.
What next for both teams?
Everton: The team travel to Sunderland in the Premier League on Monday, 3 November at 20:00 GMT.
Tottenham: Spurs go to Newcastle's ground on Wednesday, 29 October for their next round Carabao Cup match against the Magpies.