Son doubles Spurs' lead
Eric Dier puts Spurs in front
Dele Alli fires wide when free on goal
Clarets winless in six league games
Burnley 0-2 Tottenham
And that's that at Chelsea too, where the Premier League leaders have lost 2-1 to Crystal Palace.
A huge day for Spurs after it looked like they would not break down a stubborn Burnley side for long periods.
Follow all the reaction to today's games here.
And the report on proceedings at Turf Moor is coming through here.
Thanks!
Burnley 0-2 Tottenham
And that's your lot. Spurs easily controlled the final stages to seize a vital victory at Turf Moor.
Burnley 0-2 Tottenham
There will be four minutes of added time at Turf Moor.
Burnley 0-2 Tottenham
Hugo Lloris punches clear a Robbie Brady free-kick and the Spurs keeper is fouled in the process, giving his side another chance to clear.
Burnley 0-2 Tottenham
Burnley look bereft of ideas of how to even set up a frantic finish here, all very comfortable for Spurs.
Barton's cross to substitute Steven Defour is overhit and Moussa Sissoko can clear.
Burnley 0-2 Tottenham
Ugly miss from Dele Alli. It's sloppy from Burnley in the build-up and Son pounces, squaring the ball from Alli who dawdles on his shot before dragging it tamely wide.
Burnley very stretched here though.
Burnley 0-2 Tottenham
All Spurs in the final stages as Dele Alli's shot has Tom Heaton scrambling but lands just wide.
Burnley 0-2 Tottenham
Just after his miss, this time Son makes no mistake as he taps in Dele Alli's cross, with the Burnley defence carved apart at last.
Image source, ReutersSon Heung-min
That should be that.
Burnley 0-1 Tottenham
Spurs still aren't at their sharp best - this time Christian Eriksen coming foward to find Son Heung-min, who fires into the side netting.
Burnley 0-1 Tottenham
Sean Dyche rolls the second of his dice as Robbie Brady comes on for George Boyd.
Burnley 0-1 Tottenham
And that's the third enforced change through injury for Spurs today as Janssen comes off for Son Heung-min.
Not clear what caused Janssen's injury, the Dutchman just sat down clutching a leg.
Burnley 0-1 Tottenham
No, it's a poor delivery from Scott Arfield.
Hang on, Spurs are dropping like flies - Vincent Janssen is down now...
Burnley 0-1 Tottenham
Coming from a scrappy corner, it didn't feel like it but that Eric Dier goal could be decisive in the title race, if Palace can hang on against Chelsea.
Is there any way back for Burnley? They have a corner here...
Chelsea 1-2 Crystal Palace
Chris Powell
Former England full-back on Final Score
Palace are on the front foot there... Spurs winning (0-1 v Burnley) and Chelsea losing - who knows? This title race might not be over.
Burnley 0-1 Tottenham
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Burnley 0-1 Tottenham
Image source, Getty ImagesSpurs have plugged away with corners all afternoon to no avail but finally Burnley let their concentration drop and the visitors pounce.
Christian Eriksen's set-piece works its way to Jeff Hendrick towards the back post, the Burnley midfielder hacking at it, only to find Eric Dier who fires high past Tom Heaton.
Huge relief for all in white and Mauricio Pochettino on the sideline.
Eric Dier
Finally a corner comes off for Spurs...
Burnley 0-0 Tottenham
Kieran Trippier overhits another cross but Ben Davies does well to prevent the ball going out, putting it back across for Joey Barton to head out.
A seventh corner for Spurs...
Burnley 0-0 Tottenham
Vincent Janssen tries to barrel his way through the Burnley defence, who stand firm to knock the ball clear...
...but it falls to Moussa Sissoko, only for the France midfielder to clatter his shot well wide.
Indicative of Spurs' attacking malaise today.