Abstract: This paper presents a predictive internal model control algorithm based on linear systems withdeterministic disturbance,It has been proved that the closed-loop system resulted from the use of the presented control law is asymptotically stable．The adaptive predictive internal model control algorithm is givenand simulation results have also been given to show good behaviour of this adaptive algorithm for rejecting ofdeterministic distur-bances and tracbng of the desired signals．