Everton, who have not won at Spurs since 1985, fell apart in six crazy minutes either side of half time to give Tottenham their first league win in six weeks.
The game was fairly even until Freddie Kanoute scored one of the goals of the season two minutes before the break.
Kanoute let fly from 30 yards after Gus Poyet had headed the ball into his path and the Frenchman's shot flew into the top corner.
Any chance Everton had of a comeback was lost just 40 seconds after the restart when slack marking allowed Poyet to head in Darren Anderton's cross.
And three minutes later, Robbie Keane found the back of the net after being put through by Anderton.
Tottenham were a far cry from the disorganised mob that had lost their last home game to Southampton - a result which saw Glenn Hoddle lose his job.
Spurs have yet to name a replacement but Pleat is fast becoming the crowd's favourite after a performance like this.
Both teams struggled to impose themselves and there were few chances in the first half.
Paul Konchesky and Poyet sent a couple of long-range efforts wide for Tottenham in the opening minutes while Everton's Steve Watson sent a powerful header from a David Unsworth cross just over the bar.
The crowd came to life after a flash of brilliance from Keane on 36 minutes.
He beautifully nutmegged Joseph Yobo to be clear on goal only to see Nigel Martyn turn away his low shot.
Kanoute picked up the rebound and crossed to the back post only for Keane to fire just wide.
Everton responded and Yobo should have done better when he sent a header well wide after he was found free by Thomas Gravesen's corner.
Then came Kanoute's wonder strike, but Spurs were unfortunate not to double their lead going into the break.
Mauricio Taricco sent a fine cross to the back post, but Martyn somehow tipped Poyet's header wide when it seemed destined for the bottom corner.
Spurs saw out the remainder of the game with ease and not even the introduction of Wayne Rooney from the bench could spark the visitors into life.