Spurs took a first half lead through an Aaron Lennon strike and doubled their advantage after the break courtesy of a wonder goal from Benoit Assou-Ekotto.
The Cameroon left-back smashed home an unstoppable drive from all of 30 yards that gave Toffees keeper Tim Howard no chance and ensured Spurs are now only three points off Premier League leaders Manchester City.
Spurs -- now nine points ahead of fifth placed rivals Arsenal -- have lost only one of their last 18 league games and must be regarded as genuine contenders for the English title for the first time in over 20 years.