Using density functional theory (DFT) within the local density approximation (LDA), we calculate the physical and electronic properties of PbTiO 3 (PTO) and a series of hypothetical compounds PbTiO 3-x S x x = 0.2, 0.25, 0.33, 0.5, 1, 2, and 3 arranged in the corner-sharing cubic perovskite structure. We determine that replacing the apical oxygen atom in the PTO tetragonal unit cell with a sulfur atom reduces the x = 0 LDA calculated band gap of 1.47 eV to 0.43 -0.67 eV for x = 0.2 -1 and increases the polarization. PBE0 and GW methods predict that the compositions x = 0.2-2 will have band gaps in the visible range. For all values of x < 2, the oxysulfide perovskite retains the tetragonal phase of PbTiO 3 , and the a lattice parameter remains within 2.5% of the oxide. Thermodynamic analysis indicates that chemical routes using high temperature gas, such as H 2 S and CS 2 , can be used to substitute O for S in PTO for the compositions x = 0.2 -0.5.