An exact solution of the unsteady hydrodynamic flow in a porous medium due to non-coaxial rotations of a porous disk and a fluid at infinity has been obtained. An analytical solution of the problem is obtained at small and large times by the Laplace transform method. It is found that the primary velocity decreases while the secondary velocity increases with the increase in porosity parameter sigma. It is also found that the porosity takes more time to reach the steady state than that in the case of no porosity.