Abstract: In the regional integrated energy system with multiple coupling nodes, there is a deep coupling of multiple energy forms with more complicated node connections, difficult to calculate and evaluate directly using a single network. A resilience of the electricity-gas regional integrated energy system is evaluated based on the heterogeneous dependency network in this paper. Firstly, a two-layer heterogeneous interdependent network model of the electric-gas regional integrated energy system is established based on the electrical-gas decoupling of the coupling units. This model is then transformed into a two-layer bidirectional graph. Secondly, the quantitative resilience indices comprehensively considering the fragility and resilience are proposed, and these indices are expressed with plural forms and are calculated based on the two-layer two-dimensional graph. Thirdly the geometric average G1-anti-entropy method is proposed to obtain the comprehensive resilience value. Finally, the resilience evaluation example of the electricity-gas regional integrated energy system is used to validate the correctness and effectiveness of the proposed method.