The kernel of grey prediction PID control system is the grey predictor in its feedback loop, and its modeling precision is relevant to the variation rate of the control system behavior data. For large inertia controlled objects or short sampling period control systems, the behavior data of the control system changes slowly, so the prediction by direct grey modeling based on these data is of low precision. In allusion to this problem, a new grey prediction PID control method based on strengthening buffer operator was proposed. Through the functioning of strengthening buffer operator on the behavior data sequence of the control system,a strengthening buffer operator functioning sequence of the control system behavior data was obtained and, then the grey modeling and prediction were carried out to realize grey prediction PID control. The simulation results show that with the same PID control parameters, by using the control method proposed in the paper,the desired control effect can be achieved and its control precision is obviously superior to that of the traditional grey prediction PID control and classical PID control.