This paper is devoted to the theoretical investigation of polarization Bremsstrahlung (PB) from fast ions with electronic core scattering in a polycrystalline medium. There are two channels of radiation in this case, namely, projectile PB and target PB. Projectile PB is a new radiation mechanism due to the scattering of the own target electric field into a real photon on a bound electrons of the projectile. The main features of projectile PB from hydrogen-like multi-charged incident ions are studied, including spectral-angular distribution of PB photons and its dependence upon the projectile kinetic energy.