1. A display device comprising: a display unit displaying plural viewpoint images; a light separation unit having plural transmitting portions and separating light from the display unit; and a display control unit controlling the timing of switching either of display positions of respective viewpoint images on the display unit and transmittance of respective transmitting portions of the light separation unit based on correlation information of the viewpoint images between frames, wherein the display control unit controls the switching timing based on at least one of: a scene change of viewpoint images detected as correlation information of the viewpoint images between frames, and a variation degree in viewpoint images detected as correlation information of the viewpoint images between frames.