The electrocardiograph signal presents the sparseness. In this paper, a new method of extracting the Fetal Electrocardiograph (FECG) is proposed, which uses the Blind Source Separation(BSS) of Sparse Signal. Both the Wavelet Analysis method and a new scheme named Vanish Circle are also involved in order to avoid the influence on the signal separation, because the ECG signals are not completed sparse signals. Some experiments show that the new method is effective.