Cui Shenyou (崔慎由), courtesy name Jingzhi (敬止), was an official of the Chinese dynasty Tang Dynasty, serving as a chancellor during the reign of Emperor Xuānzong.
It is not known when Cui Shenyou was born. He was from the prominent Cui clan of Qinghe (清河, in modern Xingtai, Hebei), which claimed ancestry from the ruling house of the Spring and Autumn period state Qi, and which traced its ancestry to officials of Qin Dynasty, Han Dynasty, Cao Wei, Jin Dynasty (265-420), Later Zhao, Southern Yan, Liu Song, Northern Wei, Northern Qi, and Tang Dynasty. Cui Shenyou's grandfather Cui Yi (崔異) served as a prefectural prefect, and his father Cui Cong (崔從) served as a regional governor and was created the Count of Qinghe. He had at least one older brother, Cui Yanfang (崔彥方) and at least three younger brothers, Cui Zhoushu (崔周恕), Cui Anqian (who would later become a major general), and Cui Yanchong (崔彥沖).
Cui Shenyou passed the imperial examinations in the Jinshi class early in the Taihe era (827-835) of Emperor Wenzong, and further passed a special examination for those who were considered good and righteous. He was said to be intelligent, with good memory, and mild in his disposition. He later served on the staff of Gao Zhu (高銖) when Gao served as the military governor of Yicheng Circuit (義成, headquartered in modern Anyang, Henan).