Cui Xuanwei
It is not known when Cui Huan was born. His grandfather Cui Xuanwei was a chancellor during the reigns of Wu Zetian and her son Emperor Zhongzong of Tang and was a key figure in Emperor Zhongzong's restoration. Cui Huan's father Cui Qu (崔璩) served as a deputy minister during the reign of Emperor Zhongzong's nephew Emperor Xuanzong and was said to be a capable writer. Cui Huan had at least two brothers—an older brother named Cui Zhen (崔震) and a younger brother named Cui Bi (崔賁).