The cerebellum is an important brain structure for sleep. We identified a global connectivity mechanism with which the cerebellum coordinates and controls sleep-related networks. Global connectivity of the cerebellum showed a highly selective relationship with individual differences in slow-wave sleep (SWS) improvements, after both verum and sham acupuncture treatments. Cerebellar connectivity with the thalamus differed significantly between treatment types. Highlighting its ability to distinguish amongst processes central to sham and verum treatments. Our findings suggest a particular architecture for the cerebellum: a flexible global hub with a brain-wide influence, supporting both circadian rhythms and sleep homeostasis.