A new method of neutron electric dipole moment (EDM) searching is proposed. It is based on the spin dependence of the Pendellosung phase of a neutron diffracted by a noncentrosymmetric crystal. A two-crystal set-up is proposed and analysed to get the most luminosity possible. A strong interplanar electric field of the crystal and a sufficiently long time for the neutron passage through the crystals for Bragg angles close to pi /2 makes it possible to exceed the sensitivity achieved with the ultra cold neutron method.