study investigates a mixed convection boundary layer flow over a vertical wall embedded in a highly porous medium. The fluid viscosity is assumed to decrease exponentially with temperature.The boundary layer equations are transformed into a non-similar form using an appropriate non-similar variable ξ and a pseudo-similar variable η . The non-similar equations are solved using an efficient local non-similarity method. The effect of viscosity variation parameter on the heat transfer, skin friction and the velocity and temperature distribution within the boundary layer is investigated. The viscosity variation parameter, the viscous dissipation parameter and non-similarity variable are shown to have a significant effect on velocity and thermal boundary layer andalso on the skin friction coefficient and heat transfer at the wallThe author would like to thank the East African Universities Mathematics Programme (EAUMP) for their financial support.