A long, locked, dip-slip fault is considered situated in a half space of linear viscoelastic solid having the properties of both Maxwell and Kelvin (Voigt) type materials. Tectonic forces due to mantle convection and other associated phenomena are acting on the system. The magnitude of the tectonic forces has been assumed to be slowly increasing with time. The movement is assumed to be slipping in nature. Analytical expressions for the displacement, stresses and strains are obtained at any field point in an isotropic, homogeneous, viscoelastic half-space using integral transformation, modified Green's function technique and correspondence principle. A detailed study of these expressions may give some ideas about the nature of stress accumulation in the system. © 2018 Academic Publications.