Robbie Keane scored four times as Spurs returned to winning ways in an entertaining game at White Hart Lane.
Keane slotted a penalty into the bottom corner after strike partner Jermain Defoe was brought down by Andre Bikey.
Burnley had their moments in an open game and Steve Fletcher had a goal ruled offside, before Jermaine Jenas made it 2-0 with a deflected 20-yarder.
After the break Keane fired into the top corner, rifled in a left-foot shot and squeezed a fourth in off the post.
Burnley remain without a goal or a point away from home in their first Premier League campaign, but looked comfortable in possession in the early stages.
With more precision they could have capitalised on some frailties in a Spurs defence missing the reassuring presence of hamstring-victim Ledley King, plus Jonathan Woodgate who has not played so far this season.
The home side were grateful to be facing a more generous defence after defeats against Manchester United and Chelsea, as they hit five goals for the fourth time already this term.
They soon clicked into gear and Jenas put Keane through with a pin-point pass only for the Irishman's shot to be blocked by Brian Jensen's legs.
But Spurs went ahead as Bikey clumsily hauled down Defoe and Keane sent Jensen the wrong way from the spot.
Fletcher could argue he was level when he collected a through ball and drilled a low shot past Carlo Cudicini and the decision proved a turning point as Burnley quickly found themselves two down.
Keane sent Niko Kranjcar away down the left channel, his shot was blocked but Jenas followed up with a fierce long-range effort, that deceived Jensen after a cruel deflection off Stephen Jordan.
A wonderfully intricate exchange of passes between Keane and Jenas resulted in the latter backheeling to Jermain Defoe, but the England striker's left-foot shot went wide, denying a clear contender for goal of the month.
Burnley started strongly in the second half, Robbie Blake forcing a good low diving save from Cudicini, and later hitting a post with a rebound from an acute angle after the goalkeeper fumbled a free-kick.
Defoe was taken off with an injured finger sustained after Jensen blocked another of his efforts following more invention from Keane.
The atmosphere became a little flat but Aaron Lennon revived matters with a typically quick burst and a cut-back to Keane, who finished in some style, side-footed, from 15 yards.
His fourth followed shortly afterwards as he raced on to Tom Huddlestone's raking lofted pass from defence, turned and hooked a left-footed drive into the bottom corner.
A superb day for Spurs was completed by the substitute appearances of Gareth Bale, who therefore ended his unfortunate record of never having played in a winning Spurs team in the Premier League since his move from Southampton in the summer of 2007, and the return after injury of Michael Dawson.
There was one more moment for Keane as he latched on to Peter Crouch's flick and shot through the legs of Jensen, the ball squirming over the line off the woodwork, and rather summing up Burnley's misery.
Tottenham boss Harry Redknapp: "I've never had more problems picking a team.
"To leave Peter Crouch out after his hat-trick in midweek wasn't easy but I went with the two little ones and their movement was fantastic.
"With their big centre-halves I thought we would give them more problems than with a big man up there. That was a key factor.
"Robbie is important, he's one of the few voices we have in the dressing room. He's a great player, has been for years, and he takes his chances so well."