The Light Between Oceans is based on a book of the same title by Australian writer M.L. Stedman, about a lighthouse keeper and his wife who live on a remote island off Western Australia.
The couple, played by Fassbender and Weisz, find a boat washed ashore carrying a dead man and an infant. They keep the child, but years later discover the consequences as the baby's real story unfolds.
According to the Internet Movie Database, the film is directed by Derek Cianfrance of Blue Valentine and The Place Beyond the Pines fame.
English actress Weisz won an Oscar for her supporting role in The Constant Gardener (2005) and also acted in Peter Jackson's The Lovely Bones.
Fassbender's credits include Prometheus, X-Men: Days of Future Past and 12 Years a Slave, for which he received an Oscar nomination for best supporting actor.
Parts of The Light Between Oceans are also being shot in Tasmania.