Electric dipole moments, present and future

Upper limits on the electric dipole moments (EDM) of elementary particles and atoms are presented, and their physical implications are discussed. The bounds following from the neutron and atomic experiments are comparable. In particular, they strongly constrain P odd, T even interactions. The nuclear EDMs can be studied at ion storage rings, with the expected sensitivity much better than $10^{-24} e$ cm. It would be a serious progress in the studies of the CP violation.