Disney CEO Bob Iger told ABC employees about the demand at a town hall meeting on Monday, The Hollywood Reporter said.
He did not name the film, but Deadline reports that it is Pirates of the Caribbean: Dead Men Tell No Tales.
Mr Iger said Disney is refusing to pay, and that the studio is working with federal investigators.
He added that the hackers had demanded the ransom in bitcoin and that they would release the film online in a series of 20-minute chunks unless it was paid.
(BBC News)