The story has been scripted by Steven Knight for Graham King's GK Films.
A director is yet to be attached to the project for a start early next year, reported Deadline.
Pitt most recently won the best picture Oscar for producing slavery drama '12 Years A Slave'.
'Fury', his another WWII story, is directed by David Ayer and Sony Pictures plans to release the film on November 14.
Pitt's most memorable period war hero turn was in the Quentin Tarantino-directed 'Inglourious Basterds'.