Peristaltic transport of Eyring-Powell fluid is investigated in the presence of an induced magnetic field. The fluid is considered in a channel with non-conducting walls. Mathematical modelling is given subject to the long wavelength and low Reynolds number assumptions. The resulting non-linear system is solved for the stream function, pressure gradient, magnetic force function, induced magnetic field and current density distributions. The flow quantities have been examined for various parameters. The pressure rise per wavelength is also analyzed.