The photon-spin-dependent (PS) contribution to the ordinary Faraday effect optical rotation in an external magnetic field H is well known. This contribution is proportional to factor (sph H) wheresph is the photon spin. Recently a P, T -odd Faraday effect optical rotation in an external electric field E was discussed as a promising tool for observation of the electron electric dipole moment in the intra-cavity absorption spectroscopy. In the present paper, we introduce the PS contribution to the P, T -odd Faraday rotation effect. This contribution is proportional to (sph E) and has to be taken into account in the calculations of the P, T -odd Faraday effect.