In this work, the problem of heat and mass transfer by laminar flow of Newtonian, viscous, electrically conducting fluid past an exponentially stretching permeable sheet with variable heat and mass fluxes in the presence of non-uniform magnetic field is studied The effects of non-uniform heat generation/absorption and thermal radiation are included in the boundary layer equations. Using similarity transformations, the partial differential equations governing the flow are transformed into a system of coupled nonlinear ordinary differential equations which is solved numerically by fourth-order Runge–Kutta method using the shooting technique. The effects of various pertinent parameters on the local skin- friction coefficient, the local Nusselt number and the local Sherwood number are explained graphically and discussed.