Great significance is possessed by the active participation of new energy and energy storage in scheduling regarding lowering the operating cost of the distribution network and improving the capacity of new energy consumption. A multi-objective function-based “source-network-storage” synergistic interaction model is established in this paper for the optimal scheduling of distribution networks containing distributed new energy sources and energy storage. Firstly, based on the characteristics of wind power and photovoltaic power curves, the load state constraints of energy storage elements, and the economic cost and profit of operation are incorporated; subsequently, multiple objective functions are aggregated by weighted summation to obtain the optimal strategy of intraday dispatch in the distribution network. The simulation results show that significant reduction in system load pressure during peak hours and enhancement of the system’s effect on new energy consumption can be achieved by connecting the distributed new energy and energy storage system to the distribution network and participating in the intraday dispatch process, while reduction in the intraday dispatch operation cost of the distribution network and certain economic benefits of energy storage can be obtained.