Bách was born in 1886. Bách's father was Vinh and his mother was Tĩnh Nguyễn Huy. His paternal grandparents were Thiều and Cảnh Nguyễn. He had four brothers and three sisters, named Tòng, Trinh, Kế, Hiếng, Cận, Khanh and Cơ. He died at the age of 81 in 1967.