Abstract: In recent years,there has been increasing interest in Orthogonal Frequency Division Multiplexing（OFDM） applying to the mobile communication system in terms of considering its various advantages in combating the severe effects of the frequency selective fading. However,the OFDM system suffers from the strong sensitivity to the nonlinear distortions,introduced by the transmitting High Power Amplifier（HPA）,since the OFDM system has the high Peak-to-Average Power Ratio（PAPR）.The method proposed in this paper first is to use the training sequence to estimate the coefficient of the transmitting HPA model at the receiver,second to estimate nonlinear distortions and to cancel it at last. The results of computer simulation show that the algorithm is effective in OFDM systems.