Moiré pattern can be readily observed in the case of superimposing two periodic structures. Recently, Moiré pattern, which degrades the quality of an image, become unavoidable in many LED display and three-dimensional displays, which consist of regular structures. Therefore, a model of moiré which fit the character of human vision is important to solve the problem of image quality degradation. In this paper, we modified the the model of Moiré which proposed by Amidror to evaluate the color moiré fringes, which consider the property of human vision system of contrast sensitivity. From the modified model we conclude that moiré minimization could have two lattice form an certain angle. The experimental results show that moiré pattern are vivid when the angle is 0°, 15°, 20° and 45°. However, the spatial frequency of Moiré in 10°, 25°, 30° and 35° are fine in spatial domain. It is also reveal that changing angle is simple and effective in alleviating remarkably Moiré pattern.