This paper investigates the Radiation effects of an viscous incompressible and electrically conducting, non-Newtonian power-law fluid past a stretching sheet in the presence of transverse magnetic field considering the viscous dissipation effects. The resulting governing equations are transformed into non linear ordinary differential equations using similarity transformation. The momentum equation is first linearized by Quasi-linearization technique. Then the set of linear ordinary differential equations are solved numerically by using implicit finite difference scheme to form system of algebraic equations. Now these system of algebraic equations is solved by using Gauss-Seidal iterative method. The solution is found to be dependent on various governing parameters including the magnetic field parameter M, the power-law fluid index n, velocity exponent m, temperature exponent r, the generalized Prandtl number Pr, Eckert number Ec and radiation parameter Rd. Numerical results are tabulated for the local Nusselt number. Velocity and Temperature profiles drawn for different controlling parameters reveal the tendency of the solution.