Micky van de Ven Brace Ends Everton's Run at New Home Ground
The Dutch defender became the initial defender to score twice in a English top-flight game for Spurs since Jan Vertonghen in March 2013.
Match summary
The Spurs defender nods into the net two times in first half
Everton's Jake O'Brien has goal ruled after video check
Pape Matar Sarr scores third in dying moments
The defeat is the Merseyside club's first at Hill Dickinson Stadium
Micky van de Ven found the net on two occasions as Spurs prolonged their unbeaten run in away games in the Premier League and handed Everton their first defeat at Hill Dickinson Stadium.
The Toffees were unbeaten in their last five matches 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 struck twice from set-pieces in the first half to put their strong form at jeopardy, and they were failed to mount a comeback before Pape Matar Sarr - assisted by ex-Everton forward Richarlison - nodded in a third to seal the victory.
Jake O'Brien thought he had levelled the tally a short while after Van de Ven's first goal, glancing a powerful header past the Spurs keeper from an Everton corner.
Beto, in the meantime, failed to convert a handful of opportunities, while the Italian goalkeeper made a series of fine saves to ensure Tottenham went five away games unbeaten in the Premier League.
But the VAR stepped in, advising Craig Pawson to check the goal on the screen and the referee decided that the winger and the attacker were in offside positions and had impeded with the Tottenham goalkeeper.
This victory moves Thomas Frank's team into third place in the Premier League, a handful of points off north London rivals and leaders Arsenal.
Everton stay in 14th position and sit half a dozen points clear of the relegation zone.
Tottenham analysis: The defender fulfils role at both ends of pitch
After a uninspiring midweek display in the Champions League against Monaco, where they mustered a only two shots on goal, Frank opted for the French striker up front instead of former Toffees player Richarlison.
The summer signing was unable to influence the game before being replaced for the substitute after 60 minutes on the field, but it turns out he proved unnecessary in the end.
Centre-back Van de Ven converted into an offensive threat to be reckoned with.
Spurs' first goal came from a well-worked corner routine, with Rodrigo Bentancur heading the ball back across the six-yard box for an unmarked the defender to score.
And Ven de Ven - stepping up as skipper in the Argentine's absence - added his second in added time as he rose above the England keeper to head home.
The Dutchman was equally impressive in defensive duties, partnering well with Kevin Danso as the duo handled excellently with the numerous deliveries thrown their way by Everton.
Toffees breakdown: Everton lacking striker's instinct
The club's new home had been a happy hunting ground, but it seems the freshness may have worn off somewhat and supporters flocked to the gates after the midfielder's final goal for Tottenham.
The end in Everton's unbeaten home run will not be a major worry for David Moyes, but their attacking woes are.
The forward and Thierno Barry - the Toffees' two recognised strikers - had scored just a single goal combined before Sunday's outing.
And they were unable to add to that poor tally on a wet and gloomy night on Merseyside.
The striker's performance was summed up when he chose to bicycle-kick a clear chance from near the goal, even with having space and time to reposition for a simpler attempt that would have challenged the keeper.
The substitute, as well, was unable to make an impact after coming on for the starter in the second half.
It was not for a lack of opportunity. Most of Everton's attacks came through the winger and the forward, who relentlessly whipped dangerous balls into the Spurs penalty area.
What next for these two sides?
The Toffees: Moyes' men head to Sunderland in the Premier League on Monday, 3 November at 8 PM.
Tottenham: The London club travel to St James' Park on Wednesday, 29 October for their next round League Cup match against the Magpies.