I. Brief Intriduction to 2HDM with Soft CP-violation (Type I,II,III,IV)
II. Current Constriants through Collider, Flavor, S-T parameter, and especially the ACME II electron EDM measurement;
III. The importance of neutron EDM: current constraint on CP-even and -odd mixing angle, and why is it irreplacement in constraining Type II and III models: possible cancellation in electron EDM;
IV. Conclusions and Discussions.