A new interference suppression algorithm based on the Robust Independent Component Analysis(RobustICA) Blind Separation is proposed in Direct Sequence Spread Spectrum(DSSS) systems. In order to improve the robustness to the isolated points and local point，this algorithm combines the exact line search method with the kurtosis to get global optimum. Simulation results show that the proposed algorithm has a better performance for the multi-tone narrowband interference suppression by decreasing the probability of falling into the saddle point or the local point and enhancing the availability of the narrowband interference algorithm based on the blind source separation.