Electronic structures of possible F-type color centers in PbMoO₄ crystals are studied within the framework of a fully relativistic selfconsistent Dirac-Slater theory with a numerically discrete variational (DV-Xα) method. The results show that:F and F⁺ centers result in donor energy levels in forbidden band; optical transition energies are 2.141 eV and 2.186 eV, corresponding to 518 nm and 567 nm absorption, respectivly. The 580 nm absorption band after photo-chromic effect results from F-type color centers in PbMoO₄.