ABSTRACT The Model is developed as the Steady Magnetohydrodynamic flow with an angular velocity between parallel porous plates. The problem is solved analytically by using similarity transformation, whose solution deals with increasing fluid flow with an angular velocity. The applications of the problem are in Magnetohydrodynamic (MHD) power generators, cooling system, aerodynamics heating, polymer technology, petroleum industry. The objective of this paper is to analyse the Steady Magnetohydrodynamic flow of viscous fluid with an angular velocity between parallel porous plates when the fluid is being withdrawn through both the walls of the channel at the same rate. The problem is reduced to a third order linear differential equation which depends on a Suction Reynolds number R and M 1 for which an exact solution is obtained.