Abstract: In order to solve the problem of increasing radar interference in complex electromagnetic environment, especially the impact of impulse noise on the robustness of Direction of Arrival (DOA) estimation algorithm, this paper proposes a single snapshot DOA estimation algorithm based on fast structure alternating projection. Firstly, the low-rank property of Hankel matrix was used to model the observed signal, and the Accelerated Structured Alternating Projections (ASAP) method was used to achieve robust suppression of impulse noise. Then, the Continuous Mixed Norm (CMN) was introduced to recover the sparse signal to enhance the robustness of the algorithm in the impulsive noise environment. Finally, the Alternating Direction Method of Multipliers (ADMM) is used to solve the sparse optimization problem to achieve high-precision DOA estimation. Simulation results show that the proposed algorithm has better estimation accuracy and stronger anti-interference ability in the environment of single snapshot and impulsive noise, especially in low signal-to-noise ratio conditions, it shows higher robustness and resolution.