With consider of nonlinear interference in Beidou satellite channel and the higher transmission frequency is adopted in Beidou satellite system,the traditional equalization cannot satisfy the requirement.This paper proposed a novel nonlinear blind equalization algorithm.The algorithm utilizes the third-order Volterra model to obtain the revised nonlinear error by symbol error.Then the parameters of equalization are updated by the revised nonlinear error to track the model of satellite channel and remove the nonlinear interference.The simulation result shows that our proposed nonlinear equalization have lower symbol error ratio and quicker convergence speed than the neural network blind equalization algorithm and channel detection aided equalization algorithmand has a good application value in the field of engineering.