The scalar diffraction theory has carried on the analysis to eliminate the axial chromatic aberration and the conditions of magnification chromatism. Using the programmable control features of phase-only liquid spatial light modulator, the Fresnel lenses with three colors of red, green and blue are inlaid with blazed gratings and programmed on a liquid crystal spatial light modulator by random equal probability multiplexing. So that a common focal length of the three-color optical multiplexing lens is achieved, and the axial chromatic aberration eliminated. At the same time, through the constraint of the red, green, blue three-color light-modulated Fresnel lens aperture, the three-color light has the same size and intensity of the focal spot radius at the focal plane, and the magnification chromatic aberration is eliminated. The experimental results show that the axial chromatic aberration and the chromatic aberration of the multiplexing lens are effectively corrected by this method, at three-color light, the Airy′s radius is 67 pixels, which is close to the Airy's patch radius of 65 pixels produced by a monochromatic lens with the same focal length and resolution.