Peristaltic motion of couple-stress fluid with Joule heating through asymmetric channel under the effect of magnetic field is investigated. Robin-type (convective) boundary conditions are employed. The basic equations of couple-stress fluid are modeled in wave frame of reference by utilizing long wavelength and low Reynolds number approximation. Numerical solution of the resulting problem is analyzed. The effects of various parameters of interest on the velocity, pressure rise, and temperature are discussed and illustrated graphically.