The laminar flow of both fully developed and uniform entry velocity profiles in a permeable annuli was studied. The set of continuity, momentum and energy equations with its boundary conditions were solved numerically by computer program using finite difference method for a wide range of parameters. It was found from the numerical results that for the inlet parabolic velocity profile the axial velocity profile near the wall along the annuli increases due to suction and decreases due to injection. The axial pressure drop along the annuli with suction is smaller than it with injection. The local Nusselt number at the entry region increases due to suction and decreases due to injection through the inner wall of annuli.