In this paper, single-phase laminar forced convection of nanofluids flow over a 2D horizontal backward facing step (BFS) subjected to bleeding condition (suction/blowing) is investigated numerically. The continuity, momentum and energy equations are solved by computational fluid dynamic (CFD) technique, while the SIMPLE algorithm is employed for pressure-velocity coupling. Various volume fractions of nano-particles are dispersed in a base fluid (water) to produce different types of nanoflouids. In each test case, the velocity and temperature fields are computed to verify the hydrodynamic and thermal behaviors of convective system. Besides, the distributions of Nusselt number and friction coefficient at the stepped wall are obtained. Comparison between the present numerical results with experiment shows a good consistency.