On his mother’s side he was the grandson of Hossein Ali Mirza, the eldest son of Mohammad Ali Shah Qajar. In 1937, Oveissi married Sharafat Baniadam, the daughter of Sharif Doleh Baniadam, and granddaughter of Sharif Doleh Bozorg. They were married until her passing in 1972. The Baniadams were members of the Ghaffari family of Kashan.