In this paper, the effect of heat and mass transfer of an electrically conducting incompressible fluid which moves in presence of magnetic field between two parallel plates and under constant pressure gradient has been studied .after forming the governing equation of motion and choosing the suitable boundary conditions, the solution has been derived for the velocity of fluid and it has been studied analytically and velocity profile has been represented with respect to magnetic field.. it has been found that the magnetic field is very effective in controlling the velocity of fluid and graphically justifying the result of the fluid motion.