Thúc Cái's father was Hựu and his mother was Thai Nghiêm. His paternal grandparents were Yến Nghiêm-xuân and Duân Nguyễn. He had five sisters named Kha, Tu, Co, Ngu and Nho. He had two half-brothers and three half-sisters, named My, Sơ, Chiên, Quơn and Chưa. He died due to giỗ 28/10 âm lịch at the age of 80. He was buried in Mả Trên.