A floating hologram apparatus includes a display including a first output area to output a first hologram image and a second output area to output a second hologram image and a prism array positioned in front of the display and configured to refract rays of the first hologram image and the second hologram image. The prism array includes multiple prisms of which a first facet to which a ray of the second hologram image is incident and a second facet to which a ray of the first hologram image is incident have different angles.