A three-dimensional (3D) image display apparatus includes a display panel configured to display a 3D image; a light guide panel disposed on a rear surface of the display panel to emit light to the display panel; a first light source configured to irradiate light toward the light guide panel; a second light source configured to irradiate light toward the light guide panel; and a controller configured to control the first light source and the second light source to emit light alternately, wherein the light guide panel includes a first pattern which responds to the first light source and does not respond to the second light source, and a second pattern which responds to the second light source and does not respond to the first light source.