Effects of slip and heat transfer on the peristaltic flow of MHD Carreau fluid is studied under long wave length and low Reynolds number assumptions. The channel asymmetry produced by choosing the different peristaltic wave train likely sinusoidal, triangle, square, trapezoidal and sawtooth. The nonlinear governing equations are solved using a perturbation technique based on small Weissenberg number. Expressions for the stream function, pressure gradient, temperature distribution, axial induced magnetic force function and shear stress on the wall are obtained. The effects of different parameters entering into problem are discussed numerically and explained graphically. We concluded that size of the bolus decreases with increasing Hartmann number M and partial slip  .