Abstract: For solveing the conversional issuse on device-dependend color space CMYK and the device-independent color space, the highly nonlinear fitting ability on cerebellar model articulation controller (CMAC) neural network was used to research the conversion relationship between CMYK and CIE L^*a^*b^* color space in this paper. The results show that the method has a simple structruc, and can be easily implemented by hardware and software. The average color error of the test samples is 1.6 when taking the 104 professional color values of the IT8.7/3 standard color target file as the test sample, which further shows that the proposed method can be applied to the conversion prccess between the two different color spaces.