The 5-wicket win, which brought the series level at 1-1, was West Indies\' first over Aus since 2006.
Kingston: Spinner Sunil Narine claimed career-best figures of 4 for 27 and allrounder Kieron Pollard hit an unbeaten 47 to lead West Indies to a series-levelling victory over Australia on Sunday in the second one-day international.
Pollard struck four sixes in 61 deliveries as West Indies reached their Duckworth/Lewis target of 158 with five wickets down and 10 balls to spare at Arnos Vale Sports Complex to level the five-match series at 1-1.
Allrounder Dwayne Bravo made 30 and shared an important fifth-wicket stand of 64 with Pollard.
It was West Indies' first ODI victory over Australia since October 2006, a stretch that included 13 losses and one no-result.
Earlier, Narine starred as Australia were restricted to 154 for 9 in a rain-shortened innings of 40 overs after being sent in to bat on a two-paced pitch. Fast bowler Kemar Roach supported him well by taking 2 for 23 as Australia struggled in the overcast conditions.
David Hussey top-scored for the visitors with 37 off 62 deliveries while there were useful contributions from captain Shane Watson (25), Michael Hussey (24) and George Bailey (21).
Australia were set back early, first by a lengthy rain delay that halted play at 16 for no loss from five overs and then by two quick wickets upon resumption of play.
David Warner received a ball that kept low from Roach to rattle his off-stump. In the same over, Peter Forrest fell for a duck, edging a tentative stroke to second slip.
Watson hit a four and a six to break the shackles briefly but Sammy claimed him with a slower ball to make the score 46 for 3.
David Hussey shared restorative stands with brother Michael and Bailey to buoy Australia. The Husseys put on 31 for the fourth wicket while David Hussey and Bailey added 32.
Michael Hussey, dropped by Pollard on 8, eventually provided Narine with his first scalp, edging to wicketkeeper Carlton Baugh. Bailey fell to Dwayne Bravo to make it 109 for 5, slapping the ball to backward point.
The lower order failed to contribute much before being mesmerised by Narine. Wade top-edged to short fine leg, David Hussey was eventually bowled off the inside edge, while Clint McKay was stumped as the innings fizzled out at the end.
Watched by a sell-out crowd of 11,000 that included out-of-favour former captain Chris Gayle, West Indies began disastrously when Kieran Powell was lbw to Brett Lee's first ball.
But Johnson Charles and Marlon Samuels revived the innings with a stand of 42 in 10 overs.
Australia made their way back into the contest with three cheap wickets in the middle overs. Samuels was bowled by a yorker by Watson, while Charles was run out after a mix-up with Darren Bravo, who fell soon afterward when he dragged on from Xavier Doherty.
The innings was at the crossroads at 74 for 4, but Pollard and Dwayne Bravo steered the hosts to victory.
Pollard was circumspect but opened his shoulders when the opportunity presented itself and launched four sixes, including one that sailed over the Michael Findlay Stand at deep midwicket off Doherty.
The run out of Dwayne Bravo with 20 still needed off 40 balls gave Australia a sniff. But Baugh lashed a four and a massive six to finish the match.
The third contest in the five-match series is at the same venue on Tuesday, and Prime Minister Ralph Gonsavles ensured another big crowd on Sunday by declaring that day a public holiday.