Micky van de Ven Double Ends The Toffees' Run at Brand New Stadium
The Dutch defender became the initial defender to score twice in a English top-flight match for Spurs since Jan Vertonghen in spring 2013.
Match summary
The Spurs defender heads into the net twice in first half
The home side's Jake O'Brien has goal ruled after VAR review
Pape Matar Sarr nets third in 89th minute
This loss 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 on the road in the top division and delivered Everton their initial loss at Hill Dickinson Stadium.
Everton were unbeaten 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 the previous campaign.
But Tottenham's leader the Dutchman struck twice from set-pieces in the first half to place their impressive record at jeopardy, and they were unable to turn it around before Pape Matar Sarr - set up by former Toffees attacker Richarlison - headed home a final goal to put the game to bed.
Jake O'Brien thought he had levelled the scores a short while after the defender's opener, directing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, meanwhile, failed to convert a handful of chances, while Vicario made a succession of excellent stops to guarantee Tottenham went five matches on the road without defeat in the English top flight.
But the VAR stepped in, advising the match official to check the score on the screen and the official decided that the winger and Iliman Ndiaye were in offside positions and had interfered with the Tottenham goalkeeper.
This victory elevates Thomas Frank's team up to third in the Premier League, five points off local foes and leaders the Gunners.
The Merseyside club remain in 14th position and are half a dozen points clear of the drop zone.
Tottenham analysis: The defender fulfils duties at each end of pitch
Following a drab midweek performance in the Champions League against Monaco, where they mustered a mere two shots on target, Frank opted for the French striker in attack instead of former Toffees player the Brazilian.
The new arrival was unable to make much of an impact before being replaced for the substitute after an hour on the field, but it turns out he proved unnecessary in the end.
Defender the Dutchman converted into an offensive threat to be feared.
Spurs' opening strike came from a well-worked set-piece play, with the midfielder heading the ball back across the face of goal for an unmarked the defender to score.
And Ven de Ven - stepping up as skipper in Cristian Romero's unavailability - added his next goal in added time as he rose above the England keeper to nod in.
The Dutchman was equally outstanding in defensive duties, partnering effectively with his defensive colleague as the duo handled superbly with the 34 crosses sent their way by Everton.
Toffees breakdown: Toffees missing striker's instinct
Everton's new home had been a fortress, but it appears the novelty may have faded somewhat and fans flocked to the gates after Sarr's third for Tottenham.
The break in the team's winning streak at home will not be a major concern for the manager, but their striker situation are.
The forward and Thierno Barry - the Toffees' pair of established strikers - had netted only one league goal combined before the weekend's outing.
And they were unable to add to that miserable record on a damp and dreary night on in Liverpool.
Beto's form was summed up when he opted to bicycle-kick a golden opportunity from near the goal, even with having room and time to readjust for a simpler shot that would have tested the keeper.
The substitute, too, was unable to influence the game after replacing Beto in the second half.
It was not for a shortage of chance. The majority of the home side's attacks came through the winger and Ndiaye, who relentlessly delivered threatening balls into the Tottenham box.
Upcoming fixtures for these two sides?
The Toffees: The team head to the Stadium of Light in the Premier League on Monday, 3 November at 8 PM.
Spurs: Spurs go to St James' Park on late October for their fourth-round League Cup match against the Magpies.