Tottenham are now winless in six league games after Everton boosted their survival chances with the first victory of David Moyes’ second spell in charge.
The goal-shy Toffees had failed to score in nine of their previous 11 league games but struck three times before the break.
Dominic Calvert Lewin’s first goal since September opened the scoring before a brilliant individual run and finish from Iliman Ndiaye.
Archie Gray’s own goal compounded Tottenham’s misery.
Late goals from Dejan Kulusevski and Richarlison reduced Spurs’ deficit but could not prevent a 12th defeat in 22 games.
“It is a challenging situation for sure, when you are losing players the amount we are at the moment,” said under-fire Tottenham boss Ange Postecoglou, who was without 10 first-team regulars.
“It’s up to me to get us out of it and I’ve got to be good enough to do that.”
Everton pull four points clear of the bottom three and within four points of 15th-placed Tottenham.
