Creativity has historically been investigated in psychological and educational aspects, and developed by psychologists and educationists. Recent progress of computational and cognitive science has opened new horizons in the neuro-scientific approach, bridging the concept of creativity and specialized brain function. This review discusses the psychological and educational theories of creativity, and focuses on the recent works in neuroscience dealing with creativity in view of divergent thinking. We also summarize the brain areas and their networks found by the neuroimaging studies, especially functional magnetic resonance imaging.