The CP violation in the D system is predicted to be an unobserved level in the Standard Model. In this paper, we describe the method of searching for CP violation decay processes with the coherently produced D^0D^0 mesons from the ψ（3770） decay. The CP violation decay processes can be searched for at the BES-Ⅲ experiment. The experimental sensitivity for searching for the CP violation can reach about a 10^-4 level with a ψ（3770） data sample of about 20 fb^-1.
