Abstract: Demand-side resource aggregators use equity incentives to act as agents of prosumers to participate in energy sharing, which is one of the important ways to achieve local energy consumption. This paper proposes a three-tier cooperative operation strategy of regional integrated energy system considering the equity incentive energy sharing of resource aggregators. This method aims to promote the energy sharing between prosumers and aggregators under the constraints of system operation, and minimize the expected operating costs of the system, aggregators and prosumers under the influence of source-load uncertainty. The proposed method describes the uncertainty of the source-load prediction error by constructing a fuzzy set. The strong duality theory is used to transform the original model into a mixed integer linear programming model, which is solved by the distributed alternating direction multiplier method. Based on the bargaining theory, prosumers formulate point-to-point trading strategies and report the margin to aggregators. Aggregators use equity incentives to represent the lower-level transaction needs for energy sharing and report transaction information to the system; the system optimizes the system power flow in real time by adjusting the soft-switching power output to minimize the operating cost under the adjustment of middle and lower energy sharing. Finally, through the analysis of the regional integrated energy system composed of IEEE-33 node distribution network and 23 node heating network, the proposed method can increase the total transaction volume between aggregators by 23.6 % compared with the method of only aggregators participating in the transaction, which greatly promotes the local consumption of renewable energy. The system cost is reduced by 2.8 %, the aggregator benefit is increased by 15.9 %, the prosumer cost is increased by 3.1 % under low prediction error, and reduced by 2.8 % under high prediction error, and the overall cost is optimal.