This paper devotes to study the propagation of Love waves in a fluid saturated, anisotropic, porous rigid layer lying over a prestressed, non-homogeneous, elastic half space. The dispersion equation of phase velocity is obtained. We found that the phase velocity of Love waves is considerably influenced by rigidity, porosity and anisotropy of the porous layer, inhomogeneity of the half-space and prestressing present in the media, the layer and the half-space. As a particular case dispersion equation of Love wave in rigid boundary does not coincides with that of in free bounray. Dispersion curves are plotted for different variation in inhomogeneity parameters and initial stress parameters the effect of the medium characteristics on the propagation of Love waves is discussed.