The hosts had their chances, but their failure to take them as well as defensive errors condemned them to defeat.
Story of the match
Pascal Struijk had the first chance of the game for the hosts from a cross which he headed just wide.
Harry Kane was just about unable to get onto the end of Ryan Sessegnon's cross.
The first shot of the game saw Leeds keeper Illan Meslier make a comfortable save following Heung-Min Son's curling effort.
In the 10th minute Spurs had the lead through Matt Doherty, who was able to get on the end of Sessegnon's cross to score his first goal for Tottenham.
Five minutes later Dejan Kulusevski doubled Antonio Conte's side's lead, cutting in from the right hand side and firing beyond Meslier to complete a superb opening 15 minutes for the visitors.
Robin Koch had a golden opportunity to make the score 2-1 when he hit the post from close range just minutes after going two goals behind.
Spurs had a third in the 27th minute, as Pierre Emile Hojbjerg played a delightful ball into Kane, who volleyed home to put Spurs three goals in front.
Meslier then had to be alert to stop Sessegnon making it four for The Lilywhites on the volley.
Davies was fortunate to be awarded a foul after he was brought down by Luke Ayling, who would have been in on goal had his tackle not been given as a foul.
There were big shouts for a penalty as the home crowd wanted to see a spot kick awarded for a handball by Davies, but the referee waved the appeals away.
The Welshman then had to be alert to turn the ball behind for a corner after a pass was lobbed over the Spurs defence.
Jack Harrison then tried to get on the end of Raphinha's cross, but he could not quite meet it.
Ayling had a fantastic chance to pull a goal back for Leeds, as he found himself unmarked in the box but headed over from close range.
Half time saw Tottenham take a comfortable 0-3 lead at the interval at Elland Road, as the North Londoners had been clinical in front of goal.
The hosts on the other had made defensive errors and failed to take at least two great chances to peg the visitors back.
Half time score: Leeds United 0-3 Tottenham Hotspur
Lloris was called into action early on in the half, as he had to be alert to catch a cross from just outside the box.
Substitute Mateusz Klich cut in from the right flank and fired his shot over.
Harry Winks had to make an important tackle to stop Rodrigo racing through on goal.
Son then went on a fantastic mazy run towards goal, but his eventual shot was tame and could only force a comfortable save for Meslier.
Spurs had an amazing chance to make it four, as Kane played a pass into Doherty, who saw his one on one saved by Meslier, Son then had an open goal temporarily but hesitated which allowed Meslier to get a hand on his shot.
Meslier was on hand to make a good stop to deny Kulusevski a second, as he drove at the heart of the Leeds defence and hit his shot low, aiming for the bottom left hand corner of the goal.
The Swede was denied soon after, as a good block denied him the opportunity to finish off a lovely move, as Doherty crossed into him.
Son made a lovely run into the box, but he could not find anyone to cut the ball back to.
Davies made a vital block for Spurs to spare Lloris' blushes, as he got his clearance all wrong, but Davies was there to block the ball from Stuart Dallas' shot who had an otherwise empty net.
Emerson Royal had the chance to score off the bench as he was played in by Kane, but he tried to round the keeper and Meslier was able to palm it away.
Tottenham then did have a fourth, as Kane played a superb long ball to Son, who duly finished off the move in the 84th minute to put Spurs four goals in front.
Raphinha was close to grabbing a late consolation goal when he smashed the ball against the post from the edge of the box with a free kick as the game approached added time.
Full time saw Tottenham secure an emphatic win in Yorkshire, but it was more misery for Leeds, who looked shaky defensively and had plenty of chances to score but failed to take them.
Takeaways from the match
Spurs' opening fifteen minutes in particular was the perfect response to comments made by manager Antonio Conte, who had called on the club to evaluate his position in charge of the club after their loss 1-0 at Burnley on Wednesday night.
Tottenham were able to defend in the periods in which they were under pressure, which was an improvement on recent weeks, as Spurs had lost four of their last five before kick off on Saturday.
The game also saw the emergence of Conte's favoured system, utilising the wing backs, as Doherty and Sessegnon were pivotal to the way in which The Lilywhites played.
In contrast, it was another poor performance from Leeds, who struggled to contain Spurs defensively, extending their run to 19 goals conceded in their last five games.
He got the opening goal of the game for the hosts and was able to find himself in great positions throughout the game, Matt Doherty was able to prove his worth on Saturday and show why he should be starting instead of Emerson Royal for Spurs in the right wing back position for Tottenham.
He was able to play some beautiful crosses throughout the game also, something Spurs have missed during the course of the season.
Leeds United: Meslier, Ayling, Firpo (Shackleton 77'), Forshaw, Koch, Raphinha, Llorente, Dallas, James, Struijk (Harrison 46'), Harrison (Rodrigo 46').
Tottenham Hotspur: Lloris, Doherty, Romero, Dier, Davies, Sessegnon (Royal 77'), Hojbjerg, Winks, Kulusevski (Bergwijn 77'), Son (Scarlett 86'), Kane.
Referee: Craig Pawson.