  We analyze contributions to the electric dipole (EDM) and Schiff (SFM)
moments of deuteron induced by the CP-violating three-pseudoscalar meson
couplings using phenomenological Lagrangian approach involving nucleons and
pseudoscalar mesons $P=\pi, K, \eta, \eta'$. Deuteron is considered as a
proton-neutron bound state and its properties are defined by one- and two-body
forces. One-body forces correspond to a picture there proton and neutron are
quasi free constituents of deuteron and their contribution to the deuteron EDM
(dEDM) is simply the sum of proton and neutron EDMs. Two-body forces in
deuteron are induced by one-meson exchange between nucleons. They produce a
contribution to the dEDM, which is estimated using corresponding potential
approach. From numerical analysis of nucleon and deuteron EDMs we derive
stringent limits on CP-violating hadronic couplings and $\bar\theta$ parameter.
We showed that proposed measurements of proton and deuteron EDMs at level of
$\sim 10^{-29}$ by the Store Ring EDM and JEDI Collaborations will provide more
stringent upper limits on the CP violating parameters.
