Andy Murray wins 6-3 6-4 in one hour 42 minutes
35th meeting between the pair
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Nicola: Get in. Come on. Vamos. Woo hoo. Yeaaahhhhhhhhhh!
allotmenteer: Oh Andy. You little beauty. Well done. Congratulations on that wonderful achievement. Thank you.
Andy Tuck: Well done Murray. And just in time for Plant Earth II.
Pat Cash
Former Wimbledon champion on BBC Radio 5 live
He is the tougher player, he knows when things are going wrong and he gets through matches. What a year this has been for Murray, from the Davis Cup to now, but this one is for him. This is a personal achievement - to hold the number one spot at the year of is a lifetime achievment, it really is something special.
Djokovic was odds on to win this. Can you blame the bookies?
He swept aside Kei Nishikori while Murray looked spent against Milos Raonic is his semi.
But this is the Scot's time.
He's the best in the world and deservedly so.
That was an extraordinary and dominant display.
Andrew Castle
BBC Sport tennis commentator on BBC Two
What an extraordinary physical performance, let alone the mentality he brought to the court. Murray has brought the 12-year strangehold of the big three to an end.
Murray 6-3 6-4 Djokovic
Andy Murray defeats Novak Djokovic 6-3 6-4 and wins the ATP World Tour Finals
15-0: Djoko's return is too long - unforced error number 28 for the Serb. Murray needs three more points.
30-0: Ace. Two more points.
30-15: Djoko pulls a point back. Nervous?
30-30: A medium-length rally ends with Murray striking the net with his forehand. The crowd are restless.
40-30: Murray takes a risk and comes to the net - his volley is weak but Djoko puts too much on his lob.
Deuce: Djoko also takes a risk and also comes to net. This time his smash is accurate.
Advantage Murray: Great serve. It's too good for Djoko.
Deuce: He's done it again. A superb return from Djoko - wide of Murray.
Advantage Murray: Another long rally ends with Djokovic dragging his return wide.
Murray wins: The Scot's second serve is returned with too much oomph from Djoko.
Game, set and match Andy Murray
Pat Cash
Former Wimbledon champion on BBC Radio 5 live
In the last year, Murray has played some huge matches under huge pressure and expectations, but he has come through time and time again like water off a duck's back.
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Jeanna Skinner: One more game to be world number one.
Ros Clarke: One. Game. Away.
Pat Cash
Former Wimbledon champion on BBC Radio 5 live
Image source, ReutersWe've seen Djokovic really fired up in the round-robin matches, but he's not been there at all during this final.
*Murray 6-3 5-4 Djokovic
It looks like it's down to Murray ion his service game as the Scot's return hits the cord and bounces back on his side. 40-15.
Djokovic confirms with a forehand winner with force nine whip.
He holds - will Murray hold his nerve?
Tim Henman
Former British number one on BBC Two
Image source, AFPLike a dog with a bone, Murray just will not let go.
Murray 6-3 5-3 Djokovic*
The first point of the game lasts 33 shots. The 33rd of those was just wide from Murray. First blood Djokovic.
Djoko then looks to send Murray out wide but fails to mount the net with his forehand.
The Scot then hangs on in a rally and forces another mistake from Djoko. Out. Actually, it wasn't. The replay shows it was in.
Look if you guys aren't going to use these challenges...
Murray seals the game, after snapping his string, when Djoko returns too long.
That was a great hold.
Murray needs one more game.
This may be the best shot of this match so far...
Andy Murray hits a stunning backhand winner past Novak Djokovic.
Not content with that errant smash from earlier, Novak Djokovic may have outdone himself in the wild miscue department...
Novak Djokovic makes a surprising unforced error.
Tim Henman
Former British number one on BBC Two
There was always going to be a response from Djokovic. It is a similar scenario to when Murray played Raonic the other night. He just needs to hold his serve now and settle now.
Because of course Kevin Spacey and Gerard Pique like to hang out together...
There's quite a list of celebrities taking in the ATP Tour Finals final.
*Murray 6-3 4-3 Djokovic
Rather than sit on his one-break advantage, Murray is fighting for every point.
But he's 40-0 down. His return on the fourth point is called out and he opts not to challenge - it was actually in Andy.
Djoko wraps up. Does a twist await?
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Folarin Olawale: Never seen Djokovic in this position against #AndyMurray, external what a turn around of the table. #Andy, external on driver seat.
Wale Ibraheem: Look like Andy is right on course for this tiitle. Djokovic looks jaded! Shocking performance from the Serbian!
Nuren: I don't think Murray has been any special tonight. Novak has just been ridiculously bad!
Andrew Castle
BBC Sport tennis commentator on BBC Two
That is more like what we expect from Djokovic. he is not going down without a fight.
Murray 6-3 4-2 Djokovic*
Murray's consistency regarding losing challenges remains consistent as he loses a challenge on the first point. It was out Andy.
Yet again, the Scot recovers with a winner before Djoko misjudges another return from the deep. 30-15.
That becomes 30-30 as Murray double faults once more. Is that number three?
Well, hello 30-40. Murray faces a first break point when he smacks the net.
Djoko fans' fingers are crossed.
Their man does it as Murray fails to put enough whip on a forehand.
One break back.
Tim Henman
Former British number one on BBC Two
When you think logically about this match and what he has been through in the last few weeks, you wonder if it was one step too far? But the way he has come out and executed his plan against one of the game's greats. He just needs to push himself to the finish line.