Abstarct: In this thesis elestronic and optical properties of bulk WTe2 in hexagonal phase were investigated. Computations were conducted using PAW pseudo-potential in density functional theory frxamework alongside GGA approxiamtion implemented in QUANTUM ESPRESSO package. In the first, cutoff energy, k-point and lattice constants optimization were performed. Then the band structure, total and partial density of states (DOS/PDOS) were calculated. To investigate the optical properties, dielectric function, absorption coefficient, reflection index, energy loss function and optical conductivity were calculated.The result of the band structure showed WTe2 has a band gap of 0.7 eV. The results obtained from PDOS showd that the conduction band edge contains d orbitals of W and the valance band edge contains p orbitals of Te. The calculated optical parameters indicated that the properties are orientation dependent and the compound is anisotropic. According to the calculations, the amount of static refractive index of WTe2 in x and z directions is around 3.7. The high value of absorption coefficient obtained from calculation show WTe2 is a candidate for photovoltaic application.