In this paper Lorentz force effect on steady fluid flow and heat transfer of nanofluid is examined. The nanofluid is transported through horizontal parallel plates with magnetic flux of uniform density acting perpendicular to the plates. The effects of thermo-fluidic parameters such as Schmidt number, viscosity and magnetic parameter on flow and heat transfer are presented. Other important heat and mass transfer parameters such as Nusselt and Sherwood numbers practically relevant were also studied. Obtained results from analytical solutions shows quantitative increase of Magnetic parameter varied within the range of 1-4 depicts increasing temperature distribution. Also results when compared with past literatures forms good agreement. Therefore study provides a good emphasis for the advancements of Nano fluidics such as micro mixing, friction reduction, energy conservation, and biological samples.