Phúc-Cương was born in 1944. Phúc-Cương's father was Mẫn and his mother is Tảo Nghiêm-bá. His paternal grandparents were Gị and Khương Phạm. He had three brothers and three sisters, named Loại, Thế-Luân, Bảo-Sơn, Nguyện, Hậu and Phước-Liên. He is the youngest of the seven children.