The two-dimensional steady boundary layer flow through a convergent channel of a non-Newtonian electrically conducting fluid in presence of a transverse magnetic field has been studied. Similarity solutions are obtained by considering a special form of magnetic field. Expressions for velocity and approximate skin friction at the wall have been obtained and numerically worked out for different values of the flow parameters involved in the solution. The non-Newtonian effects on the velocity and the approximate skin friction have been shown graphically with the combination of other flow parameters.