Hopes of West Indies pushing on to a victory was thwarted on day three.
Australia resuming on 92 for 4 pushed their lead to 300 after getting three crucial half centuries.
Shamar Joseph was thorn grabbing five wickets.
But chasing 301 the Caribbean men folded for 141 with Joseph top scoring with a hard-hitting 44.
Josh Hazelwood was the tormentor, getting his own five-for to power Australia to a 159 run victory in the first Test.
