Abstract: The computer-generated hologram of multi-plane three dimensional object was produced based on chromatography and the Gerchberg-Saxton algorithm. And a three dimensional display with full parallax was obtained by writing the hologram into spatial light modulator. According to this method,the gray image was displayed and high image quality could be got.The cube composed of 100 planes was set up and its 3D image could be obtained.In addition, the phase translation function was added into the computer-generated hologram ,the noise of multi-order diffraction images, which arose from the grid-structure of spatial light modulator, was eliminated substantially,then the energy utilization efficiency was as much as 379% of before. Thus a 3D holographic display of high diffraction efficiency, high image-quality and full parallax can be realized.