In this paper, we examine the combined effects on peristaltic movement of an electrically conducting Walters-B fluid through a compliant walled channel. Using small wave number move towards, the nonlinear model differential equations are obtained and tackled analytically by regular perturbation method. Expressions for the stream function, velocity, temperature, skin-friction coefficient and heat transfer coefficient are constructed. Pertinent results are presented graphically and discussed quantitatively. It is found that the velocity distribution depresses while the fluid temperature rises with an increase in Hartmann number. The trapping phenomenon isobserved and the size of trapped bolus increases with an increase in Hartmann number.