Filming is due to take place this year in Europe with additional casting underway.
The film will mark the first narrative feature for Corbijn since 2015 biopicLife, starring Robert Pattinson.
Her work has been adapted dozens of times for screen.

Helen Mirren, Anton Corbijn and Patricia HighsmithGiles Keyte/Stephan Vanfleteren/Getty Images
Brouhaha is in production on Kate Winslet starrerLeeabout Lee Miller and period dramaFirebrandwith Alicia Vikander and Jude Law.
Added FilmNation Entertainment CEO Glen Basner: Patricia Highsmith and Tom Ripley are box office gold.
Audiences will love seeing Helen Mirren bring Highsmith to life.

Mirren is repped by CAA.
Corbijn is repped by Independent.
Murray-Smith is repped by 42 MP.