An analysis is performed to study the effects of suction/injection and porosity on the flow and heat transfer of an incompressible viscous and electrically conducting fluid past a stretching vertical permeable surface through a highly porous medium in the presence of heat generation. The magnetic field and heat generation/absorption effects are also discussed. The resulting coupled nonlinear ordinary differential equations are solved numerically. The velocity and temperature profiles for different values of the parameters are shown graphically, in addition, the skin-friction coefficient and the rate of heat transfer at the surface are given in tabular form.