Objectives:The present work investigates the propagation of love waves in an isotropic poroelastic layer that is bounded by an inhomogeneous orthotropic half-space and a transversely isotropic elastic half-space. The transversely isotropic poroelastic layer and elastic half-space are taken as initially stressed. Methods: Using Biot's theory, the equations of motion for poroelastic layers are derived. The dispersion equation for phase velocity has been derived analytically. Findings: The effect of initial stresses of both elastic half-space and layer is observed. Also, the dispersion equation is derived for poroelastic layer and elastic layer as particular cases. Numerical work has been carried out and results are presented graphically. Novelty: The propagation of Love waves at the boundary between two elastic substances has received a lot of attention. Present study deals with three solid structures, a layer bounded between two half-spaces.