A numerical study has been made to analyze the wall conduction effect on the natural convection in an anisotropic fluid-saturated porous medium filled in a rectangular cavity. The governing conservation equations are solved by a SIMPLE algorithm. The numerical results indicate that the anisotropic permeability influences the flow field and heat transfer rate significantly. A critical Value of the anisotropic thermal diffusivity ratio may exist such that the Nusselt number reaches a minimum. This critical value decreases with increasing the value of the anisotropic permeability ratio. Moreover, wall conductance effect can lead to large changes in the Nusselt numbers.