Australia's pace bowlers rattled the West Indies batting, and they were all out at 143 on the fourth day of the second Test in Grenada on Sunday.
Australia set a target of 277 for the West Indies, but they lost by 133 runs.
Josh Hazlewood, Mitchell Starc, Beau Webster, and skipper Pat Cummins shared the wickets.
West India captain Roston Chase and the rest of the batting order faced a herculean task to as they chased a series-levelling victory ahead of the final Test under lights at Sabina Park in Jamaica.
The quartet of West Indian victims included Kraigg Brathwaite, the former captain enduring a miserable 100th Test as he was caught behind off Webster for just seven to follow on his first innings duck.
West Indies had already lost his opening partner John Campbell, trapped leg-before by the persistently accurate Hazlewood and Keacy Carty, whose tortured stay ended via a catch to wicketkeeper Alex Carey off Starc.
Brathwaite was the third wicket to fall but he was to be joined in the dressing on the stroke of the lunch. Brandon King, dropped by Cameron Green at third slip off Cummins earlier, ran out of luck when he was comprehensively bowled to leave the West Indies innings in ruins.
Earlier, Australia's tail added 22 runs before they were dismissed for 243 in the second innings. Shamar Joseph claimed two of the last three wickets to finish with four for 66.