Water flow over a weir was simulated numerically in this paper. The numerical model involved the Reynolds equation for mean flow filed with the k-ε turbulent model. To track free surface movements the VOF method with geometric reconstruction approach was employed. Three flow patterns including surface jet, surface wave and plunging jet were simulated in this paper. The free surface profile, velocity field and the distribution of shear stress on the bottom at downstream of the weir were obtained. The results of present numerical model, inviscid model and the rigid-lid assumption were compared with experimental data. It is shown that the present numerical model has great advantage to simulate the flow over a weir. The validities of the inviscid model and the rigid-lid assumption were also discussed.