Earlier, Sri Lanka's unorthodox spinner Ajantha Mendis grabbed four wickets for 12 runs to restrict the West Indies to a modest 137-6.
A sell-out crowd of 35,000 at the Premadasa stadium cheered every dismissal as the West Indies, electing to bat, fell apart once Chris Gayle was removed in the sixth over for only three runs.
Marlon Samuels was the only batsman to defy the spot-on Sri Lankan bowling, making 78 off 56 balls with the help of six sixes and three boundaries.
His brilliant strokeplay helped the West Indies add 105 runs in the last 10 overs after they were reduced to 32-2 from the first 10.
Sri Lanka took an early grip on the match by keeping the West Indies down to 14-2 in the first six powerplay overs after Johnson Charles had been dismissed off the fifth ball of the match.
The West Indies had to wait till the 19th delivery to score their first run with the bat and Gayle needed nine balls to get off the mark.
The left-hander struggled for 16 deliveries to make three before he was trapped leg-before by Mendis in the sixth over.
It was not till the 12th over that the West Indies, who pummelled Australia in the semi-finals, showed the first signs of aggression as Dwayne Bravo pulled 19-year-old spinner Akila Dananjaya for a six over mid-wicket.
Samuels responded by smashing three sixes in the next over of sling-arm fast bowler Lasith Malinga, two of them in succession over mid-wicket and extra-cover.
Bravo helped Samuels add 59 runs for the third wicket when he was given out leg-before by Australian umpire Simon Taufel, even though replays showed the ball go off the bat on to the pad.
Mendis then dismissed the dangerous Kieron Pollard and Andre Russell off successive deliveries in the 16th over, but West Indies captain Darren Sammy denied the spinner a hat-trick.
The 17th over, bowled by Malinga, produced 19 runs as Samuels smashed a boundary and two consecutive sixes to leave the frontline bowler with unflattering figures of 0-54 from his four overs.
Samuels' innings ended in the 18th over when he was caught in the deep off Dananjaya.
Teams
West Indies: Darren Sammy (captain), Johnson Charles, Chris Gayle, Marlon Samuels, Dwayne Bravo, Kieron Pollard, Andre Russell, Denesh Ramdin, Sunil Narine, Samuel Badree, Ravi Rampaul.
Sri Lanka: Mahela Jayawardene (captain), Tillakaratne Dilshan, Kumar Sangakkara, Angelo Mathews, Jeevan Mendis, Lahiru Thirimanne, Thisara Perera, Nuwan Kulasekara, Lasith Malinga, Akila Dananjaya, Ajantha Mendis.
COMMENTS (26)
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congratulations to West Indies.They played really good.
Great Game! Great Sport! Great Spirit! Viva West Indies and that too after a very long time. It was wonderful to see WI team win the Twenty 20 World Cup. The game was competitively played by both sides and turned out to be a one of nerves, wits and determination. Salams to both sides.
Congrats West Indies, an India found in the west !
SL fell in what they dug for others (Slow Sluggish Dead impossible to score) Pitch. Nature is a great leveller.
Proves that the WI isn't a one-man ( Gayle ) side.
Hahaha.
Respect! Great game and well deserved win by the windies! Especially like their celebrations... Gangnam style :)
Congratulation WI, the best team deserved to win.
Great character and celebration by windies. Congrats WI
GaNgNaM style !!!!! Op op op op !!!
Congrats "KALI ANDHAI"
Watched the game and it was great. West Indies deserved the win.
Congrats West Indies!!! Sri Lanka's strength (dusty pitches) became their own enemy.
A well deserved victory for West Indies.
Congratulations to West Indies for winning maiden T20 WC.
Congratulations to WI. It was a great team work.
Kudos w.i team. After a long span of time they finally win a big title. Congrates!!!
Congratulations to West Indies Cricket Team on winning the T-20 final match.
West Indies Cricket Team played very well throughout the tournament and the team deserved to stand No.1 on the victory stand.
WI will win