The problem of the magnetohydrodynamic non-Newtonian fluid flow with heat transfer through a porous medium in a vertical channel is studied. The non-Newtonian fluid under consideration is obeying the rheological equation of state due to Casson model. The system is stressed by a uniform transverse magnetic field. The system of nonlinear partial differential equations which controlled this flow is solved by using Lighthill method. The velocity and temperature distributions are obtained. The effects of various physical parameters of the problem on these distributions are discussed numerically and illustrated graphically through a set of graphs. Also, some special cases are discussed.