The Before Sunrise filmmaker will direct the movie about the Clash frontman, who died in 2002.
According to Variety, the film will be entitled The Right Profile, named after the song that appeared on the punk band's iconic 1979 album London Calling.
The Right Profile is said to focus on Strummer's life in 1982, when he disappeared from public life.
Simon Halfon has already been announced as the producer of the film, previously titled Joe Public, which has been backed by Film4.
Listen to The Clash's 'The Right Profile' below: