Ioane, who played for the Wallabies in their 23-21 loss to the British and Irish Lions in the first Test at Brisbane on Saturday, was scheduled to appear in the Melbourne Magistrates Court on Monday but did not answer his call.
A magistrate immediately issued a warrant for the arrest of the 27-year-old, who has played 35 Tests for Australia.
The legal crisis now facing Ioane adds to the turmoil around the Wallabies team which must win the second Test at Melbourne on Saturday to level the three-Test.
The Wallabies are already beset by injuries to midfielders Christian Lealiifano, Adam Ashley-Cooper and Pat McCabe.