The optical properties of glasses having a composition 60TeO2 x TiO2 (40- x) B2O3, where (x = 10, 20, 30) have been studied. It was found that the values of the optical energy gap decrease by increasing TiO2 content. The optical electronegativity has been calculated from the optical energy gap. It was found that all samples are considered to be covalent in nature. Refractive index, optical basicity and the polarizability of oxide ions have been calculated from optical electronegativity. The glasses are found to possess a high refractive index (2.764 – 2.807), a comparatively narrow band gap (1.76 eV – 1.66 eV), high oxide ion polarizability (3.074 Å3 – 3.099Å3 ) and high optical basicity (1.464 - 1.477) and small single bond strengths (350.9 – 312.3 kJ mol-1). Finally, all the prepared samples have higher values of third order nonlinear susceptibility (7.810-8.99) x10-12 esu, which indicates that all samples are promising materials for nonlinear optical devices.