The existence of multiplicative noise greatly limits the applicability of independent component analysis.The basic model of ICA are introduced,and then the ICA of noisy signals is discusse.This paper proposes a method based on fourth-orderstatistic to eliminate multiplicative noise and separate out independent sources.In the paper,the statistical structure of a linear transformation of noisy data is studied,and the statistical structure is used to find the inverse of the mixing matrix by minimization of J.The method is efficient and robust by simulation.