Chấn's father was Tiên and his mother was Chi Phan. His paternal grandparents were Tại and Yên Nguyễn. He had a brother and a sister, named Hiển and Xuyến. He had three half-brothers and a half-sister, named Đĩnh, Lãng, Cẩm and Trâm. He died in 1934. He was buried in An-phú.