According to one embodiment, a liquid crystal optical apparatus includes first and second substrate units, and a liquid crystal layer. The first substrate unit includes a first substrate and first electrodes. The first electrodes are provided on the first substrate to extend along a first direction, and arranged in a second direction perpendicular to the first direction. The second substrate unit includes a second substrate and a second electrode. The second substrate opposes the first substrate. The second electrode is provided on the second substrate to oppose the first electrodes. The liquid crystal layer is provided between the first and second substrate units. At least one of the first electrodes is provided with a recess formed on a surface of the at least one of the first electrodes. The surface opposes the second electrode.