Hybrid AC/DC microgrids can efficiently integrate distributed generation and flexible load, and the open and shared interconnected system can further improve the reliability and economy of multiple microgrids through the power sharing mechanism. This paper proposes a distributed economic dispatching model for networked hybrid AC/DC microgrids considering demand response. For a single microgrid, an optimization model considering demand response is established to reduce its operation cost, and reserve capacity constraints are added to deal with the uncertainty in the microgrid. For the interconnected system, the DC network optimizes power flow distribution to reduce network losses by coordinating the boundary information of each microgrid. The whole optimization problem is solved in a distributed manner, in which the load resources are fully coordinated. Each microgrid only needs to provide limited boundary information, which fully protects the user privacy. The simulation results show the effectiveness of the proposed dispatching model.