Flow of fluids through parallel plates with porous medium is very important in the study of oil extraction, geothermal energy, nuclear power, chemical industries etc. In view of its application, in the present paper the flow of visco-elastic electrically conducting fluid through two parallel plates filled with porous medium placed in an inclined magnetic field has been considered. Initially the flow is generated by a constant pressure gradient parallel to bounding fluid. After attaining the steady state, the pressure gradient is withdrawn and simultaneously inclined magnetic field is applied to find the velocity profile of the fluid. After forming the necessary equations and assuming suitable boundary conditions, the relation for velocity has been derived using Separation of variable technique. It has been found that the applied magnetic field has a significant role on the velocity profile.