This Paper Analyzed the Effect Of Mhd Free Convection Couette Flow Through of a Viscous Incompressible Fluid Past An Infinite Vertical Plate Through Porous With Account Viscous Dissipative Heat,Of an Uniform Transverse Magnetic Field. the Velocity Distribution, The Temperature Distribution, Coefficient of Skin Friction and Rate Of Heat Transfer Has Been Investigated. the Problem Is Governed By a Coupled Non-Linear System Of Partial Differential Equation. In This Case Exact Solution Is Not Possible, By the Explicit Finite Difference Method.