The problem of mixed convection fluid flow and heat transfer flow through a porous medium, over an infinite vertical plate, is studied numerically. The effect of nanofluid properties and concentration and Prandtl numbers are considered in the present study. The governing non-linear partial differential equations of this phenomenon are transformed into a non-linear algebraic system utilizing finite difference methods. Numerical results for the velocity, temperature and as well as the skin friction, heat transfer are obtained and reported in tabular form and graphically for different values of physical parameters of the problem The solutions for velocity and temperature are obtained. The effects of Grashof number, Prandtl number of a nanofluid, and porous parameter on velocity, and temperature are presented graphically.