The plot of the forthcoming sci-fi thriller is largely unknown, though it is thought it will focus on a group of explorers who travel vast distances through space via wormholes, reported Ace Showbiz.
Actors David Oyelowo, David Gyasi, Wes Bentley, and Casey Affleck are among the line-up already set to star in the film.
Damon will be playing a small role in the movie, which has already began filming.
The 42-year-old actor, who recently starred in "Elysium" and in HBO's "Behind the Candelabra", is apparently poised to make his directorial debut with a movie called "A Foreigner".