Humans frequently move their eyes to see an object of interest with the foveae, which have the highest visual acuity. Retinal images also move with the eyes in this situation, but the visual world is perceived as stable. This raises the question of how the visual system achieves visual stability during eye movements. In this review, two topics of eye movement research are introduced, based on recent studies of transsaccadic integration (Matsumiya, Sato & Shioiri, 2016) and of the relationship between pursuit eye movements and visual motion (Matsumiya & Shioiri, 2015).