Emergency facility location is a long-term strategic decision layout problem, but the location-allocation network is confronted with potential disruption risk. The multi-objective evaluation system is proposed under disruptions which includes cost economy, equilibrium and fairness of coverage quality. A capacitated multi-objective model is established for reliable emergency facility location under disruptions, the constructed model reflects economy with the minimum system cost, equilibrium with the maximum coverage of service quality, and fairness with the maximum minimum coverage level. The non-dominated sorting genetic algorithm II (NSGA-II) is presented to solve the model to obtain the Pareto set. The distribution of Pareto optimal set in three dimensions and the topological structure of emergency facility location network are given. The research results provide decision support for decision-makers to design a reliable location-allocation network under the disruption environment.