An effective medium model is used for predicting the overall bed permeability (OBP) for the flow through beds of permeable porous spherical particles. The effective medium model used here assumes that a single permeable porous spherical particle is surrounded by a hypothetical fluid envelope and an effective medium beyond the envelope. Stokes equations are used in the fluid region and Brinkman equations are used inside the porous regions. At the porous-liquid interfaces, the stress-jump condition is used together with the continuity of velocity components and the continuity of normal stress. Faxen's law for drag and torque acting on the surface of permeable porous sphere is determined and hence the overall bed permeability is calculated as an implicit relation. This model converges to the existing models in various limiting cases.