A set of mathematical model is developed and the scouring of aerated jet flow on river bed is simulated. Relationship between the scour depth and the pressure and velocity near the scour is set up, the relationship is used to control the scour depth in the model. The calculated scouring depth of matches with the experimental data very well, which proves numerical simulation of scour on river bed is reasonable and feasible under the condition of knowing the characteristic of river bed material. The calculated results show that aeration makes the depth of scouring become shallower, it is accordant to the experimental results.