Hanks said he and Wilson, both 63, were tested in Australia, where he is working on a film after they felt tired and achy with slight fevers.
In a statement posted on Instagram, Hanks said he and his wife were traveling in Australia when they were tested after exhibiting symptoms like tiredness, body aches, chills and "slight fevers."
"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?" he wrote.
The couple is the first major US celebrities known to have contracted COVID-19. The coronavirus has infected more than 1,000 people in the US.
The iconic performer has starred in films such as 'Splash,' 'Bachelor Party' and 'Saving Private Ryan.' In 1994, he won an Oscar for best actor for 'Philadelphia,' in which he portrayed a dying, HIV-infected gay lawyer fighting discrimination at work, and again in 1995, for the role of a slow-witted but kind-hearted man in 'Forrest Gump.' His wife Wilson, also has appeared in many movies including 'Sleepless in Seattle' and produced films such as 'My Big Fat Greek Wedding.'