The hysteretic nonlinearity of the piezoelectric actuator (PEA) will greatly reduce the pointing accuracy of a precision pointing system for intersatellite laser communication, and affect the acquisition of beacon and link stability. To address this issue, an improved PrandtlIshlinskii (PI) model based on the PLAY hysteresis operator and parameter identification method is presented to characterize the hysteresis of the PEA. Based on this basis, a feedback forward linearization method for the piezoelectric is proposed and its effectiveness of mathematical model and linearization is verified. The experimental results show that the inverse of this model with maximum error less than 1% is employed for feedforward compensation of the PEA hysteresis to obtain an approximately linear system. The improved PI model entails less computation than the original PI model. The performance the feedforward compensation is verified by experiments using control signals with different frequencies, and with constant and decreasing amplitudes respectively. The results show that the feedforward inverse model compensation can reduce the linearity error of the PEA from 5% to less than 1%, which PrandtlIshlinskii model in computational complexity simplified from O(n) to O (1).