The invention relates to the technical field of a power distribution network of a power system, and provides a power function model-based analysis method for acceptance capability of a power distribution network on a distributed power supply. According to the method, a power function model of the distribution power supply is obtained on the basis of an open-type running power distribution network model of the distributed power supply accessed to a user side, the sensitivity indexes of an access power of the distributed power supply on each factor under different power distribution network states are obtained according to the power function model, the influence of single-factor change on the acceptance capability of the power distribution network on the distributed power supply is analyzed according to the sensitivity indexes, three indexes of single-factor partial increment, basis partial increment and synergistic partial increment are calculated by a partial increment analysis model of a power function, the integral influence of multi-factor change on the acceptance capability of the power distribution network on the distributed power supply is analyzed according to an index result, and the quantitative analysis of the influence factor on the acceptance capability of the power distribution network on the distributed power supply is achieved.