Based on the structural characteristics of the power communication network, this paper establishes a complex network model for the power communication network, and the node influence is defined from the neighbor topology characteristics and network aggregation characteristics of nodes. This paper uses the information entropy of network attribute value to calculate the overall contribution degree of network topology to node influence, and then analyzes the effect after node deletion on network topology vulnerability from the perspective of network connectivity and efficiency. Finally, the simulation analysis is conducted on the influence of the nodes in BA network, WS network, the regional backbone power communication network and the provincial backbone power communication network. The results show that this method can better reflect the impact of key nodes in terms of network efficiency and connectivity compared with other methods using complex network indicators. This work is supported by National Natural Science Foundation of China (No. 51507063) and Fundamental Research Funds for the Central Universities (No. 2016MS05).