Mort's script focuses on Simone's relationship with her assistant Clifton Henderson, who will be played by David Oyelowo, backers said.
William Morris Endeavor's Global Finance & Distribution Group brought the film to U.K. production, finance and studio facility operator Ealing Studios.
Ealing is financing, producing and selling internationally the $10 million movie scheduled to shoot in the fall this year. WME Global is handling North American rights.
Simone was a singer, songwriter, pianist, arranger and civil rights activist.
Mort's resume includes a stint as a writer-producer on TV's "Rosanne" and "Will & Grace" and as creator of "Tell Me You Love Me."