In this paper we study the effect of heat transfer with free convective flow of Rivlin-Ericksen fluid along a vertical semi-infinite moving permeable plate enriched in the porous medium with variable suction has been measured. Continuity and heat equations are solved and their particular results are depicted through graphs. In other hand we also calculated the Nusselt number and skin-friction coefficient are also measured and depicted through tables. It was concluded from the actual study that the permeability of the porous region supports the fluid velocity as well as fluid temperature which is caused by less obstacles in fluid flow.

Keywords: MHD, Porosity, Rivlin-Ericksen Fluid.