By analyzing the diffraction under different wavelengths of digital micromirror device (DMD), a lensless color holographic projection system using single DMD is designed. With the reference of a single color component, the magnification chromatic aberration of the original image is eliminated. By adjusting the incident angle of these three-color lasers, the transverse chromatic aberration is eliminated. Color holographic reconstruction images with three-dimensional depth information is obtained by synthesizing the optoelectronic reconstruction image of the three color components. With this method, not only the program of color computer generated holography is simplified, but also the optical path of reconstruction is more intuitive.