Inhibitory control is the most studied cognitive process in individuals with Tourette syndrome (TS). Some studies have reported decreased inhibitory control in people with TS and suggested that it may underlie an inability to correctly inhibit movements, resulting in chronic tics. Other studies have reported intact or enhanced performance in inhibitory control tasks and theorized that this may be a consequence of multiple years of suppressing tics. Many studies have used psychophysiological techniques, mainly electroencephalography (EEG) and functional magnetic resonance imaging (fMRI), to investigate the brain correlates of inhibitory control and assess whether these are associated with mechanisms of tic suppression. Alternatively, other psychophysiological studies have assessed the brain activity of both children and adults with TS while actively suppressing their tics. In this chapter, we review the evidence on psychophysiological correlates of inhibitory control and tic suppression to look at the similarities and differences between these two processes.