Abstract: When a natural gas pipeline leakage failure occurs in electric-gas networks, the reliability of the power supply will be threatened, and the problems of power recovery and cost control after the system failure need to be solved urgently. In this paper, an optimal dispatching model with adaptive change of multi-objective function considering the pipeline leakage is proposed. The multi-objective function is processed by membership function and analytic hierarchy process (AHP). And the dispathing results of each output unit are obtained by genetic particle swarm optimization (GAPSO). The simulation results enhance the power supply reliability and the absorptive capacity of renewable energy, and the electric-gas networks based on the proposed optimal dispatching model possess a promising economy with adaptive change of multi-objective function.