He was born in Tehran to Abul Qasim Khan Kamal ol-Saltaneh, son of Mohammad Jafar Khan Sadr ol-Hekma, son of Mahmud Khan Kashi Malak ol-ShoaraSadr ol-ShoaraSaba ol-Shoara, son of Mohammad Hossain Khan Malak ol-Shoara. He studied several of Iranian and non Iranian musical instruments and became an Ostad in Radif, but selected violin and setar as his specific instruments. He was a student of Mirza Abdollah as well as Darvish Khan.
Saba is considered one of Iran's most influential figures in traditional and instrumental Persian music.
The graveside of Saba is prohibited from visitor access. His father's tomb in the same cemetery, seen here, is open to the public. The cemetery is located in Darband, Shemiran, Tehran.