This paper proposed a new method of cutting attack resistant for color image. The RGB image based on three-color theory was transformed and mapped into the real/complex space, which was composed of intensity-number space and color-number space. The watermark information was embedded into the principle component data of intensity-number space, which was extracted by SVD method. And the color image was attacked by 5 types cutting, the extracted watermarking information image had high value of peak signal-to-noise ratio (PSNR), moreover, it also had the similarity value between the original watermark and the extracted watermark. The experiment results demonstrated its’ robustness, effectiveness and rationality.