The antisaccade task is a model of the conflict between an unwanted reflexive response (which must be inhibited) and a complex volitional response (which must be generated). The present experiment aimed to investigate separately the neural correlates of these cognitive components using a delayed saccade paradigm to dissociate saccade inhibition from generation. Seventeen healthy volunteers completed event-related functional magnetic resonance imaging at 1.5 T during saccades to and away from a peripheral visual target (prosaccades and antisaccades, respectively). Saccades were requested in response to an auditory go signal on average 12 s after peripheral target appearance. It was found that the right supramarginal gyrus showed significantly greater activation during the inhibition phase than the generation phase of the paradigm for both antisaccade and prosaccade trials, suggesting a role in saccade inhibition or stimulus detection. On the other hand, the right lateral frontal eye field and bilateral intraparietal sulcus showed evidence of selective involvement in antisaccade generation. Ventrolateral and dorsolateral prefrontal cortices showed comparable levels of activation in both phases of the task. These areas likely fulfill a more general supervisory role in the volitional control of eye movements, such as stimulus appraisal, task set, and decision making.