His wife Rita Wilson remains in isolation after also testing positive to the virus last week.
Hanks is in Queensland filming a Baz Luhrmann biopic about Elvis Presley.
Production has ceased for two weeks but he is not believed to have infected any other cast or crew.
Singer-songwriter Wilson recently performed in Brisbane and Sydney.
Nine Network entertainment editor Richard Wilkins has since also tested positive for the virus, saying he met Wilson twice in the week leading up to her diagnosis.
Hanks issued a statement last Thursday saying he and his wife went to hospital after feeling run down.
He said they would comply with all Australian health restrictions relating to the virus.
It comes as British actor Idris Elba says he has tested positive for the new coronavirus.
Elba, who starred in TV drama The Wire and movie Avengers: Infinity War, said in a Twitter post he has no symptoms but is isolating himself from others.
“This morning I tested positive for Covid 19. I feel ok, I have no symptoms so far but have been isolated since I found out about my possible exposure to the virus. Stay home people and be pragmatic. I will keep you updated on how I’m doing… No panic,” Elba, 47, wrote.
Elba said he had taken the test because he found out on Friday he had been exposed to someone who had contracted the disease. He did not identify the person.
“Stay positive. Don’t freak out,” he said in a video accompanying the Twitter post.
Local News Matters
Media diversity is under threat in Australia – nowhere more so than in South Australia. The state needs more than one voice to guide it forward and you can help with a donation of any size to InDaily. Your contribution goes directly to helping our journalists uncover the facts. Please click below to help InDaily continue to uncover the facts.