The invention relates to a distributed power supply maximum admitting ability evaluation method considering the flexibility of a power distribution network. With maximization of the intra-day on-gridelectric quantity, minimization of the voltage deviation and maximization of the line capacity margin as objectives, a distributed power supply maximum admitting ability multi-objective evaluation model considering the flexibility of the power distribution network is constructed; the multi-objective optimization model is solved by adopting a comprehensive learning particle swarm optimization algorithm; a leading-edge solution with an optimal joint equilibrium value in a Pareto solution set obtained by introducing a hybrid strategy Nash equilibrium selection algorithm is used as the maximum admitting ability of the distributed power supply, so that the benefit of each objective function can be well considered. An example simulation result shows that the flexibility can be fully considered through the indexes, and the admitting ability of the distributed power supply of the power distribution network is effectively evaluated.