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 D0(D)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