Recent direct detectioon searches for dark matter give stringent bounds on the dark matter mass and couplings. One way to relax the constraint is to rely on pseudoscalar interactions with fermionic dark matter. We focus on the singlet-doublet dark matter model, which predicts the pseudoscalar interactions by CP violation in the dark sector. Due to the CP violation, electric dipole moments (EDMs) are predicted. We show that the model can be tested by the combination of the direct detection experiments and the measurement of the electron EDM.