Due to the coherence of the distributed holographic aperture imaging system and the sidelobe effect of the amplitude spread function (ASF), it is very difficult to analyze the imaging resolution. The Rayleigh criterion between the two-point resolution model is extended to the multi-point resolution model, and the resolution performance of the observation point and its nearest neighbor is judged according to the superposition curve of the multi-point ASF under different phase distributions. The genetic algorithm is used to take the valley-to-peak ratio between the observation point and its nearest neighbor as the objective function, and the maximum valley-to-peak ratio at a certain angular spacing is obtained by optimizing the phase distribution between multiple points. When the maximum valley-to-peak ratio is not greater than 0.81, the energy of the observation point and its nearest neighbor can be distinguished. The critical angular spacing with a valley to peak ratio of no more than 0.81 is obtained for any phase distribution, which can be regarded as the angular resolution of the system. Simulation and experimental results show that this method can more accurately analyze the system resolution and equivalent aperture.