The proliferation of distributed renewable energy and the extensive use of household energy storage have gradually transformed the users of active distribution network (ADN) from traditional consumers to prosumers. The flexible resources of prosumers on the demand side need a suitable trading mechanism to realize the optimal allocation of resources. Unlike the traditional electricity market with high entry threshold, this paper proposed an energy sharing mechanism based on prosumers with household energy storage devices. Firstly, taking into account the charge and discharge utility of household energy storage equipment as well as the production and consumption utility of prosumers, a transaction decision model of prosumers is established. Then, based on the centralized social welfare maximization energy sharing problem, a distributed energy sharing mechanism of ADN is constructed through alternating direction method of multipliers (ADMM) algorithm. Finally, an illustrative example of two prosumers and a prosumer network of the ADN with 10 nodes are calculated and analyzed respectively. The results show that the proposed energy sharing mechanism can maximize social welfare and improve the local accommodation degree of renewable energy from 84.85% to 85.27%. The social welfare increases with the growth of the number of prosumers with household energy storage.INDEX TERMS Energy sharing, active distribution network, alternating direction method of multipliers, household energy storage, prosumer