Indian doctor Mohammed Haneef, who is believed to have been moved to an undisclosed unit owned by the Australian Immigration Department in Brisbane after being cleared of terror charges, spent his first night of freedom watching news and eating dinner with his lawyer and cousin.

Haneef was moved under tight security from Wolston Correctional Centre, where he was held in isolation, to an Immigration Department owned unit in Brisbane's on Friday night after the terror-related charge against him was dropped.

Haneef celebrated his freedom with lawyer Peter Russo and his wife's cousin Imran Siddiqui, Russo's wife Terri said.

Terri said her husband and Siddiqui spent time with Haneef watching news and having some decent food.

The Immigration Department has gone to great lengths to keep the doctor's whereabouts a secret after his release from jail.

Haneef's lawyers said that the terms of the order mean they cannot say where he will be living, but it will be in Brisbane, media reports in Melbourne said.

The Australian Federal Police have, meanwhile, returned property and documents to Haneef after the terrorism-related charge against him were dropped.

The documents and property taken from Haneef's Gold Coast unit by the AFP were returned to him by the Department of Immigration.

Russo said it will take a long time to go through every scrap of paper to make sure nothing is missing.

Terry Russo said she understood the doctor would spend a large part of Saturday going through his property.