Hanks made the announcement the pair had been diagnosed in a post on Instagram.
"Hello, folks. Rita and I are down here in Australia," he wrote.
"We felt a bit tired, like we had colds, and some body aches. Rita had some chills that came and went. Slight fevers too. To play things right, as is needed in the world right now, we were tested for the coronavirus, and were found to be positive.
"Well, now. What to do next? The Medical Officials have protocols that must be followed. We Hanks' will be tested, observed, and isolated for as long as public health and safety requires. Not much more to it than a one-day-at-a-time approach, no? We'll keep the world posted and updated. Take care of yourselves! Hanx!"
The Hollywood power couple are both aged 63.
The couple have posted snaps around Sydney on social media, with Wilson sharing a photo on a boat outside the Opera House three days ago.
"Can't get enough of Sydney!," she wrote.
In another post she wrote: "Oh, @Sydney You are beautiful and @sydneyoperahouse you made a dream come true tonight. Performing at this iconic place is unlike any other. And, the warmth of the audience made me feel so welcome. Thank you from the bottom of my heart."
