Key points Sensory mismatch negativity is impaired in patients with cerebellar lesions, suggesting that the cerebellum may play an important role in this form of sensory processing. Anodal transcranial direct current stimulation over the right cerebellar hemisphere increased the amplitude of sensory mismatch negativity to stimuli delivered to the right hand while cathodal transcranial direct current stimulation reduced it. The cerebellum appears to be an important node in the network mediating sensory mismatch negativity, and tDCS is a useful method with which to manipulate sensory mismatch negativity for experimental studies. Abstract Appropriate orientation towards potentially salient novel environmental stimuli requires a system capable of detecting change in the sensorium. Mismatch negativity (MMN), an evoked potential calculated by subtracting the response to a standard repeated stimulus and a rare ‘oddball’ stimulus, is proposed as such a change detection mechanism. It is most widely studied in the auditory domain, but here we chose to explore the mechanism of somatosensory MMN, and specifically its dependence on the cerebellum. We recorded event‐related potentials (ERPs) evoked in response to auditory and sensory stimuli from 10 healthy subjects before and after anodal, cathodal and sham transcranial direct current stimulation (tDCS) of the right cerebellar hemisphere. There was a significant increase in peak amplitude of somatosensory MMN after anodal tDCS (F(1,9) = 8.98, P < 0.02, mean difference anodal pre–post: −1.02 μV) and a significant reduction in peak amplitude of somatosensory MMN after cathodal tDCS (F(1,9) = 7.15, P < 0.03, mean difference cathodal pre–post: 0.65 μV). The amplitude of auditory MMN was unchanged by tDCS. These results reveal the capability of tDCS to cause bidirectional modulation of somatosensory MMN and the dependence of somatosensory MMN on the cerebellum.