The federal government has approved permanent visas for the Nadesalingam family.
Supporters of the family say home affairs department officials visited the family in the central Queensland town of Biloela at 2.30pm to deliver the good news.
In June when the family returned to Biloela, Prime Minister Anthony Albanese said nothing was stopping the Tamil asylums seekers from seeking permanent residency in Australia.
Priya and Nades Nadesalingam and their daughters Kopika and Tharnicaa returned to Biloela in June for the first time since being detained in March 2018.
The former coalition government tried to deport the asylum seekers to Sri Lanka, but an 11th-hour court injunction saw the four held at the Christmas Island detention centre for two years, then moved to community detention in Perth.
Following the May election, the new Labor government gave the family permission to return to Biloela on bridging visas.