This paper investigates the heat transfer effects on peristaltic transport of a Jeffrey fluid in an inclined porous stratum. The present problem is formulated under long wavelengths and low Reynolds number approximations. Regular perturbation parameter is used to solve the governing non - linear partial differential equations. The expressions for velocity, temperature, pressure gradient and volume flow rate are derived. The effects of various pertinent parameters on velocity, temperature and pressure rise are discussed graphically. The results illustrate that the influence of inclination parameter α and permeability parameter σ on flow quantities is significant. For a fixed mean flow, the pressure rise per wavelength reduces with rising values of permeability parameter where the contradictory behavior is observed for larger values of inclination parameter. The variation in velocity for different values of pertinent parameters is studied. The pressure gradient for different values of pertinent parameter is analyzed through graphs. It is observed that temperature increases with higher values of inclination parameter. Trapping phenomena is discussed graphically. © 2017 Published under licence by IOP Publishing Ltd.