In this paper, the parameter method for prediction of unsteady MHD boundary layer, is formed. The outer magnetic field is perpendicular to the body which is flowed around by the fluid. The fluid is incompressible and its electroconductivity is constant. By using the formed method, in the presented paper, the universal equation of the problem considered is obtained. The obtained universal equation is numerically integrated, in a three-parameter localized approximation. The results of integration are given in diagrams.