With the simplified maximum likelihood algorithm, the computing complexity of the traditional maximum likelihood mehod is reduced by fast Fourier transform (FFT), but its computing complexity is still large when coherent sources exist. In this paper, the simplified maximum likelihood algorithm in the situation of the two coherent sources was researched to reduce the computing complexity. The two coherent sources can be distinguished when one is strong and the other is week. When the two sources with equal amplitude or nearly equal amplitude, they can be classified directly by using the L+1 even array. The simulation results and performance analysis demonstrate that the algorithm is effective and feasible.