Cui Xuan (崔鉉), courtesy name Taishuo (臺碩), formally the Duke of Wei (魏公), was an official of the Chinese dynasty Tang Dynasty, serving two terms as a chancellor during the reigns of Emperor Wuzong and Emperor Wuzong's uncle Emperor Xuānzong.
It is not known when Cui Xuan was born. He was from the "Greater Branch" of the prominent Cui clan of Boling (博陵, in modern Hengshui, Hebei), which claimed ancestry from the ruling Jiang house of the Spring and Autumn period state Qi. Cui Xuan's traceable ancestors included officials of Qin Dynasty, Han Dynasty, Jin Dynasty (265-420), Northern Wei, and Tang Dynasty. His grandfather Cui Jing (崔儆) served as a secretary general of the executive bureau of government (尚書省, Shangshu Sheng). His father Cui Yuanlüe (崔元略) was a prominent official during the reigns of Emperor Xianzong, Emperor Xianzong's son Emperor Muzong, and Emperor Muzong's sons Emperor Jingzong and Emperor Wenzong. Cui Yuanlüe was considered a potential chancellor at times, but was never chancellor. Cui Yuanlüe's younger brother Cui Yuanshi served briefly as chancellor between the two terms that Cui Xuan would eventually serve as chancellor. Cui Xuan had at least one younger brother, Cui Zi (崔鎡).