This article is concerned with the formulation and analytical solution of equations for modeling a steady two-dimensional MHD flow of an electrically conducting viscous incompressible fluid in porous media in the presence of a transverse magnetic field. The governing equations namely, Navier-Stokes equations and the Darcy-Lapwood-Brinkman model are employed for the flow through the poprous media. The solutions obtained for the Riabouchinsky-type flows are then classified into different types.