A three-dimensional display apparatus providing a plurality of view points at a view zone includes a directional display structure including a plurality of first sub-pixels configured to display a plurality of first sub-images, and a plurality of second sub-pixels configured to display a plurality of second sub-images; a plurality of grating structures including a plurality of first grating structures configured to perform diffraction of light such that the first sub-images are directionally transmitted, and a plurality of second grating structures configured to perform diffraction of light such that the second sub-images are directionally transmitted; a reflector between the directional display structure and the view zone reflecting the first sub-images being directionally transmitted to a first view point and the second sub-images being directionally transmitted to a second view point, thereby displaying a three-dimensional image. The first and second view points can be different but within a same view zone.