A three-dimensional image display apparatus includes a panel including a plurality of pixels and which displays an image, a relative viewer angle determining part which determines a relative viewer angle, where the relative viewer angle is a relative angle of a viewer with respect to the panel, and a light converting part which transmits the image on the panel to a left eye and a right eye of the viewer based on the relative viewer angle, where the light converting part includes a plurality of light converting units which is arranged substantially in a matrix form and generates a pattern.