The article is concerned with the study of reactive solute distribution in the laminar boundary layer stagnation-point flow of an electrically conducting viscous incompressible fluid over a stretching sheet with suction or blowing. The fluid is permeated by a magnetic field produced by an electric current. The self-similar equations for momentum and mass transfer are obtained and solved numerically by finite difference method using quasi-linearization technique. The velocity and reactive concentration profiles for various values of parameters involved in the system are presented through graphs and analyzed physically. They reveal that the momentum and solute boundary layer thicknesses decrease with increasing values of b/a < 1 ( velocity ratio parameter) as well as b/a > 1. Furthermore, it is noted that with the increase of Hartmann number, the solute transfer increases when b/a < 1 and decreases when b/a > 1, but the opposite behavior has been noticed in the case of velocity profiles.