This work investigates the peristaltic transport of MHD non-Newtonian fluids(Jeffry fluid,Bingham fluid,fourth grade fluid,Johnson-Segalman fluid) in different channels under the considerations of long wave length and low Reynolds number.The flow is examined in a wave frame of reference with velocity of the wave. Analytical solutions for the axial velocity and axial pressure gradient have been obtained in closed form.Numerical calculations are carried out for the pressure raise and frictional forces.The features of the flow characteristics are analyzed by plotting graphs and discussed in detailed.