Scorsese -- who is famous for directing dramas like "Raging Bull" and "The Departed" -- has also directed the music-themed documentaries "Shine A Light" about the Rolling Stones and "No Direction Home: Bob Dylan."
His latest non-fiction film will chronicle Harrison's life from his days with the Beatles through his solo career, as well as his time as a film producer whose company, Handmade Films, made movies like "Monty Python's Life of Brian" and "Time Bandits," Variety.com said Thursday.
Scorsese said he planned to produce the movie with Harrison's wife, Olivia, and the Harrison family has agreed to supply photos, footage and other research materials for the production, the trade paper said.
"It would have given George great joy to know that Martin Scorsese has agreed to tell his story," said Olivia Harrison whose husband died of cancer at the age of 58 in 2001.
Interviews and early production on the film are set to begin this year but the documentary is expected to take several years to complete.