A numerical simulation of the combined convection flow in a rectangular inclined lid-driven enclosure filled with copper-water nanofluid has been performed. The upper and the lower walls are maintained at a cold temperature and the upper wall moves from left to right with uniform lid-driven velocity. A localized heat source is embedded on a region of the enclosure left sidewall, the right one is considered thermally insulated together with the remaining regions of the left sidewall. The effects of the governing parameters such as solid volume fraction , Richardson number, enclosure inclination angle and heat source effect are investigated. The results explain that the local Nusselt number decreases as the inclination angle and solid volume fraction increase. Comparisons with another published results are performed and a good agreements are found.