Abstract: The impulsive control for ordinary differential systems is investigated.It is obtained that the solution under the assumptions that the solution exists and is unique, and F(t,X) is continuous.On the other hand,if F(t,X) is weak Lipschitzian,then the solution is impulsive controllable stabilization, impulsive controllable asymptotical stabilization and exponential stabilization.Two examples are given to illustrate the application of the results.