Paired-pulse transcranial magnetic stimulation was used in three experiments to measure the properties of long-latency intracortical inhibition (LICI) acting on the relaxed first dorsal interosseus muscle of the left and right hand in right-handed volunteers. The experiments show that LICI is asymmetrical: it emerges more rapidly and is greater in the dominant than non-dominant hand shortly after activation of the LICI circuits, and is greater with low-intensity conditioning stimulus intensities in the dominant than non-dominant hand. These findings suggest that asymmetrical function of long-latency inhibitory circuits in motor cortex might contribute to the asymmetrical dexterity between the hands, possibly through their inhibitory control of the circuits responsible for short-latency inhibition.