Constraints on CP-odd ALP couplings from EDM limits of fermions.

We discuss constraints on soft CP-violating couplings of axion-like particles (ALPs) with photon and fermions by using data on electric dipole moments (EDMs) of Standard Model (SM) particles. In particular, we derive bounds on CP-odd ALP-photon-photon coupling from data of the {\tt ACME} Collaboration on electron EDM. We also discuss prospects of the Storage Ring experiment to constrain the ALP-photon-photon coupling from data on proton EDM. The regarding constraints from experimental bounds on the muon and neutron EDMs are weak. We set constraint on the CP-odd ALP coupling with electron and derive bounds on combinations of coupling constants, which involve soft CP-violating terms. Finally, we discuss a scenario of inducing of Yukawa-like interaction of SM fermions with ALP through the electro-weak symmetry breaking mechanism.