A computational fluid dynamics model for simulation of a thermosyphon with two-phase flow including phase change heat transfer was developed. De-ionized water and CuO/Water nanofluid were used as working fluids in the thermosyphon. Results show that, maximum heat flux of the nanofluid is about 46 % higher than that of water. Also by increasing the nanofluid concentration, the wall temperature decreases, and the concentration of 1 wt% is the optimum concentration.