Australia beat New Zealand inside three days to win cricket's first-ever day-night test match, wrapping up a three-wicket win on Sunday evening.

Paceman Peter Siddle struck the winning runs under the Adelaide Oval floodlights to seal the series-clinching victory after Australia all but collapsed late on day three of the third and final test.

With the hosts reduced to 185-7 in pursuit of a modest victory target of 187, Siddle pushed two runs past point and his injured batting partner Mitchell Starc hobbled up and down the pitch with a broken foot to complete a nervous three-wicket win.