Salt hits stunning 109* off 56 balls as England chase 223 to win by seven wickets
Brook smashes 31 off seven balls to seal remarkable victory
Buttler reaches fifty off 33 but caught next ball
West Indies clatter 222-6 as Pooran smashes 82 off 45
Windies now lead five-match series 2-1
Fourth T20 in Trinidad on Tuesday
So England travel to Trinidad and Tobago with the series still to play for - their next match is on Tuesday, with a final one to come on Thursday (both at 20:00 GMT).
Can they turn round a 2-0 deficit to win 3-2? Today was the first step on that path.
Relive the day's action with Timothy Abraham's report...
And we'll see you on in a couple of days.
England captain Jos Buttler: "Great to keep the series alive, a fantastic win. Any time you chase 220 is a fantastic innings. Credit to Phil Salt, it's a fantastic innings, full credit to him.
"I think we've tried a lot with the ball, a few guys trying in different phases. The harder you can bowl into the wicket here the better with the spinners, and the fast bowlers can take pace off but not too much. The big hitters can get hold of you, as we showed today.
"Phil Salt has such great intent from ball one. It's something we've asked him to do, but for him to go on and stay in the game a bit longer, it can surprise you how much he can do in the end.
"It's great to get a win, it's what we're here for."
West Indies captain Rovman Powell: "It's obviously disappointing to score 220 and lose, but the guys gave it a fair shot. It was a good effort - we didn't have the best start, but the way they finished was commendable and the bowler's bowled well in patches.
"I think we have quality guys to do the job. It's just unfortunate it didn't come off today, it's a small ground, good wicket. Credit to Phil Salt.
"We try to hit as many sixes as possible and improve in the areas we aren't as strong. The guys are improving steadily and that's encouraging."
Player of the match Phil Salt: "It feels like it's been a long time coming. It's special to do it now, with them being able to take the series today.
"We've been talking about someone standing up and being the matchwinner. Someone in our side standing up.
"You can't get 40 off 20 and then get 10 off 10 balls. It's about doing it my way, freeing Jos up because he's one of the best in the world."
Carlos Brathwaite
Ex-West Indies all-rounder on TNT Sports
We saw intent throughout. Phil Salt is important for Jos Buttler, he normally goes off to flier, Buttler plays second fiddle and then goes onto the big score. This time their roles were reversed.
Steven Finn
Former England bowler on TNT Sports
It's lovely to see a smile back on Jos Buttler's face.
That was exhilarating, you thought they were dead and buried three quarters through that chase. But Phil Salt timed his innings perfectly and Harry Brook showed his versatility to come in, a little bit lower than he has previously in this series, and clear the ropes.
Jos Buttler, who's been sat topless on the boundary with a towel slung over his shoulders, swiftly dons a vest top and ventures onto the field to greet his batters.
The England captain is full of smiles - you haven't seen much of that lately.
Eng 226-3
That's the chase! Remarkable batting from young Harry Brook in a pressure situation.
It's another six to finish the match, slicing over backward point, and the England batter gives a great cheer as the ball flies away over the ropes.
Brook finishes on 31 from 7, 24 of those runs coming in this final over.
At the other end, opener Phil Salt is unbeaten on 109 from 56 - a superb effort.
3 needed from 2 balls
Slower ball bouncer and Brook pulls to mid-wicket - two's the call and they make it.
England are three away, and Brook's strike rate is currently 416.67.
5 needed from 3 balls
And again!
Full toss and flicked around the corner for six!
Brook is on 23 from five, and the West Indies team are taking a moment to regroup.
11 needed from 4 balls
Massive drive over extra cover!
Brook is bringing England within range. He's also equalled the six count - 16 apiece for each side.
17 needed from 5 balls
Four for Harry Brook!
Full from Russell and Brook turns the ball away through backward square.
21 needed from 6 balls
Back on point from Joseph, England can only work a couple of singles.
Joseph finishes with figures of 0-50. Andre Russell will bowl the final over...
23 needed from 8 balls
The length's not right this time!
Salt picks it and drives for six over long-off - that's England's two hundred up.
29 needed from 9 balls
Alzarri Joseph has occasionally struggled with his full deliveries, but this is a strong start to his final over.
Two dots are punctuated by a two for Salt to square leg.
31 need from 12 balls
Harry Brook arrives and gets in on the action straight away!
Dispatched down the ground for six.
Livingstone c Powell b Holder 30 (Eng 186-3)
Jason Holder hits back!
He's taken some tap off Phil Salt but the tall all-rounder dupes Liam Livingstone here.
The England batter miscues one down the ground to the waiting Rovman Powell at long-on.
Eng 186-2
And there's the hundred from the next ball!
Just a push to leg and the opener takes the single to become England men's fifth T20 international centurion.
It's come off 51 deliveries.
Consecutive sixes for Phil Salt!
It's Jason Holder getting the punishment, one over mid-wicket and one over long-on.
He's now past his previous T20 international high score of 88 and one away from a hundred.
51 needed from 18 balls
Another six over mid-wicket for Salt!
That's 20 runs off Joseph's over.