Writer Jason Dean Hall is penning the script, based on the book American Sniper: The Autobiography of the Most Lethal Sniper in US Military History, the autobiography of Kayle.
The book reveals how Kyle recorded the highest number of sniper kills for an American.
Cooper will produce with Andrew Lazar and Peter Morgan, while the scriptwriter will serve as an executive producer. Kayle and his co-authors Scott McEwen and Jim DeFelice are the rights holders, reports contactmusic.com.
The Limitless star has four movies set for release this year — The Silver Linings Playbook, The Words, Hit and Run and The Place Beyond The Pines.
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