Trường was born in 1945. Trường's father is Phác and his mother was Yên Bùi thị. His paternal grandparents were Tòng and Trương Trịnh. He had a brother and a sister, named Quang and Hiếu. He was the oldest of the three children. He had a half-brother named Giã. Trường is no longer alive.