5Baryon asymmetry of the Universe requires an extra CP violation and a mechanism for departure from equilibrium for a baryon-number changing process. The extended model with the CP-violating Higgs sector is a good candidate realizing it. However, such extra CP violation is strongly constrained by the electric dipole moment (EDM) data. In this talk, we propose an idea to overcome that conflict between the requirement and the constraint in the general two Higgs doublet model in which the CP-violating phases are originated by the scalar potential and the Yukawa interaction. In our scenario, the contributions to the EDM from the two sources of the CP violation can lead to destructive interference. Consequently, we show that the individual CP-violating phases can get O(1) [rad] while the EDM constraints are satisfied. This talk is based on arXiv:2004.03943 [hep-ph].