This paper concern with the peristaltic transport of MHD Newtonian fluid in a symmetric, two dimensional channel with variable viscosity under the influence of heat transfer analysis. For the formulation of the problem long wave length and low Reynold number assumption is taken into account. An exact solution is presented for the temperature field. The velocity field for the model of interest is solved by Adomian decomposition method. Numerical illustrations that show the physical effects and the pertinent features are investigated at the end of the paper.