Cerebellar transcranial alternating current stimulation (ctACS) is non-invasive and safe, and requires only simple equipment to implement. Multiple studies have provided evidence that it may improve motor learning, cognitive, and emotional processes in normal and brain-injured individuals. This study examined how AC stimulation applied to the external skull surface overlying crus 1 altered Purkinje cell (PC) and cerebellar nuclear (CN) cell activity in anesthetized adult female Sprague Dawley rats to approximate more closely the ctACS conditions. The dataset contains electrophysiology data from experiments where they applied AC stimulation at frequencies ranging from 0.5 to 80 Hz, to the skull surface above crus 1, and recorded single unit spiking from a total of 64 cells: non-identified cortical cells (n = 15), PCs (n = 16) and CN cells (n = 33; lateral CN: n = 27; anterior interpositus: n = 3, posterior interpositus: n = 3). Recordings at each AC frequency consisted of approximately ten 10-s long periods of AC stimulation interleaved with 10-s nonstimulation periods during which spontaneous activity was recorded, for a total recording period of ~ 3-min at each stimulus frequency.