Having seen Leicester beat Sunderland earlier, Tottenham scored three goals in six second-half minutes to stay seven points behind the Foxes.
Dele Alli slotted in from inside the area and Toby Alderweireld headed home, before Erik Lamela’s sweet strike.
Anthony Martial drove straight at Hugo Lloris after a weaving run, to register the away side’s only shot on target.
Kick-off was delayed by half an hour as the United team bus was stuck in London traffic en route to White Hart Lane.
And they barely provided a threat in the match, taking until the 62nd minute to test goalkeeper Lloris, before capitulating in the second period.