  The CP violating two-Higgs doublet model of type-X may enhance significantly
the electric and magnetic moment of leptons through two-loop Barr-Zee diagrams.
We analyze the general parameter space of the type-X 2HDM consistent with the
muon $g-2$ and the electron EDM measurements to show how strongly the CP
violating parameter is constrained in the region explaining the muon $ g-2$
anomaly.
