Abstract: The MUSIC algorithm for non-circular (NC-MUSIC) based on multistage wiener filters (MSWF) was proposed to reduce the complexity for non-circular signal. Firstly, the proposed method avoided the estimate of the covariance matrix and its eigendecomposition, and made use of the MSWF method with the characteristic of non-circular signal. Array extend output matrix was constructed and signal subspace was realized with recursive characteristics of MSWF which reduced the computation greatly. In the next place, reducing the complexity further, 1-D spectral peak searching formula of signal subspace was derived, to do calculation in the part of searching spectral peak for non-circular signals. Then, bearing estimation of sources could be calculated rapidly. The simulation results indicate that, being similar with the RMSE performance of other fast algorithms, the RMSE performance of new method is closer to that of NC-MUSIC algorithm. The analysis of the complexity shows that, without complex computation for the NC-MUSIC algorithm, the computational complexity for the new method is smaller than that of the extended propagator method. It is given to demonstrate the rapid and effective performance of the proposed method.