Abstract: In order to achieve efficient and reliable communication performance of the universal filter multi-carrier (UFMC) system, it is necessary to compensate for the nonlinear distortion caused by high power amplifier (HPA) with memory. In this paper, nonlinear distortion compensation method based on Volterra filter (V-NLDC) is proposed to solve the nonlinear distortion problem caused by HPA. Where, by using the Volterra series property of sparsity and accurate representation of nonlinear system, pre-distortion is first processed to modify transmitter signal with successive method. And secondly the pre-distorted signal is transmitted to HPA and finally further noise elimination is performed using a noise canceller to achieve a smaller distortion. In the whole process, the adaptive recursive least-square (RLS) method with fast convergence speed and stable performance is used to calculate the coefficients of Volterra and linear filters based on different environment. Through Monte Carlo simulation experiments, it is confirmed that the nonlinear distortion compensation technique can compensate for the influence caused by memory HPA nonlinear distortion and optimize the system performance.