In this paper, the problem of electro-osmotic peristaltic motion of nano-coupled stress fluid with heat transfer through a non-uniform inclined channel is studied. The fluid obeys the power-law model and flows through a non-Darcy porous medium. Moreover, the effects of external magnetic field, thermal radiation, heat generation, Ohmic dissipation and chemical reaction are taken into consideration. The governing equations that describe the velocity, temperature and nanoparticles concentration are simplified under the assumption of long wavelength and low-Reynolds number. The resulting system of partial variousial equations is solved numerically by using Rung-Kutta-Merson method. The solutions are obtained as functions of the physical problem parameters. The effects of these parameters on the obtained solutions are discussed and illustrated graphically through a set of figures. It is found that the axial velocity profiles decrease with the increase of electro-osmotic parameter.