The flow of a power law fluid past a symmetrical wedge is studied in the neighborhood of the stagnation point when an external magnetic field is applied. The nonlinear equation of motion is transformed to a similarity differential equation which is solved using the method of successive approximations. The analytical solutions found by this method yield numerical values in good agreement with tabulated calculations obtained before via numerical methods for electrically nonconducting fluids. Analytical expressions are derived for both the velocity profile and the local non-dimensional skin friction coefficient. Also the three thickness of displacement, momentum and kinetic energy are given in closed forms.