The peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid in an inclined symmetric channel with permeability is analyzed under the assumptions of long wavelength and low Reynolds number. The channel is in inclined at an angle βwith the horizontal. This model is useful to understand the two fluid behaviors in physiological systems. The velocity field, stream function, interface shape, pressure rise and frictional force at the wall over one cycle of wavelength are obtained and the results shown graphically. It is observed that the variation of the interface shape gives rise to thinner peripheral region with increasing Jeffrey parameter 1. © 2018 IAEME Publication. All rights reserved.