A method for displaying computer generated holograms of a display object is performed by computing fringe patterns produced by light interference from the display object. The steps are summarized as follows: three-dimensional data of the display object are converted into computational data for fringe pattern generation; a sampling rule for sampling computational data is selected; computational data are sampled according to a selected sampling rule; wavefronts generated by light illumination are computed by assuming that each sampled position has a light source; fringe patterns generated by computed wavefronts and a reference beam are computed; fringe patterns are stored as hologram images; sampling and a wavefront generation are repeated for all data; and a series of hologram images thus generated are displayed successively.