Abstract: A predictive functional control algorithm based on impulse response model is designed for integrating processes in this paper. A new error compensation method is in- troduced, which can eliminate the permanent offset between the setpoint and the system output when the integrating system is affected by large disturbance. Performance of the closed loop system is discussed, and robust stability conditions for the resultant closed loop system are given based on Jury0s dominant coefficient criterion. It is shown that the designed method can significantly reduce online computation and provide good robustness for parameters perturbation. At last, simulations are presented to verify the given strategy.