Natural convection in the hydromagnetic flow of a viscous incompressible rotating fluid system, taking into account viscous dissipative heat and Hall current, has been studied. The coupled nonlinear equations are solved by a finite difference method. Velocity and temperature profiles are shown graphically and the results discussed in terms of the Hall parameter m, rotation parameter E and Gr (Grashof number, Gr > 0 cooling of the plate by free convection currents).