The independent component analysis (ICA) is a usable method to deal with a blind signal separation problem, but which converges slowly. In this paper, a more effective algorithm of blind source separation is presented, which is the fast independent component analysis (FastICA). It introduces that the basic theory and application of FastICA in sound signal separation. Three actual speech signals are factitiously mixed, and which are separated by using the conventional FastICA. The separated results show that the FastICA has good separation efficiency.