In this paper we discuss the steady hydro magnetic three dimensional couette flow of an incompressible viscous flow through a porous medium between two infinite parallel plates under the influence of transverse magnetic field, and taking viscous dissipation into account. The stationary plate is subjected to a slightly sinusoidal surface temperature with transverse sinusoidal suction velocity while moving plate is isothermal with injection velocity. The velocity and the temperature are evaluated by using perturbation technique. The expressions for the components of skin friction at the stationery plate and the insulated plate and the rate of heat transfer are also obtained and its behaviour computationally discussed with reference to the various governing parameters in detail.