ABSTRACT: Starting from the reality that many known methods fail in the attempt to obtain analytic solution of boundary layer flow equations, in this work, a new procedure namely Homotopy Perturbation Method (HPM) is proposed to obtain an explicit analytical solution of previous problem. We noticed that the (HPM) method approaches increasingly to the exact solution for the higher orders of the parameter p. comparison with numerical solution, as well as the obtained residual, reveals that the proposed procedure (HPM) as a new kind of powerful analytical tool for nonlinear problems.