The influence of irregularity, initial stress and porosity on the propagation of Love waves in an inhomogeneous crustal layer over an inhomogeneous half space has been discussed. The irregularity has been taken in the half-space in the form of a parabola. It is observed that Love waves propagate in this assumed medium. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisotropy of the porous layer, inhomogeneity of the half-space and prestressing present in the media, the layer and the half-space. The effect of the medium characteristics on the propagation of Love waves has been analyised and results of numerical calculations have been presented graphically.