The city council - the Capitoline Assembly - voted unanimously for such a decision, the newspaper Il Fatto Quotidiano writes.
As the son of the composer Marco emphasized, the concert complex "was the home" of the legendary musician.
Morricone died at the age of 91 on the night of July 6. He died in the hospital, where he was taken due to a fracture of the femur.
The composer was led on his last journey to the music he wrote for the film "Mission", which was released in 1986. He was buried on July 7 at the cemetery of Laurentino in the southern suburbs of Rome.