Objective: In the present paper the influence of heat transfer, wall slip conditions, and wall properties on the peristaltic transport of an incompressible conducting Bingham fluid in a non-uniform porous channel is studied. Methods/Statistical Analysis: Exact analytical solutions have been obtained for the axial velocity and the temperature by using the assumptions of long wavelength and low-Reynolds number. Findings: The effects of the essential parameters on the velocity and temperature distributions are demonstrated through graphs. It is noticed that the presence of porous medium reduces the velocity and temperature in the peristaltic channel. Further, the size of the trapped bolus gets reduced due to the presence of porous medium/magnetic field whereas opposite behaviour is noticed with the increasing slip at the walls. Application/Improvements: The results reveal that the presence of magnetic field/porous medium has remarkable effect on the peristaltic transport of yield stress fluids (such as blood) which may lead to possible technological applications in designing bio- medical instruments.