Abstract: Combining the complex network construction method of the horizontal viewable electric field in the plane domain and the genetic algorithm, the static insulation multi-objective optimization of the vacuum interrupter is carried out. Extending the one-dimensional time series horizontal view method to the two-dimensional electric field domain, electric field complex network topology for a 12 kV/1250 A/31.5 kA vacuum interrupter is established to compare and analyze the static characteristics of each optimized area with the plane domain view method. The results show that the decentralization of the degree distribution is small, and the number of connected edges is reduced by 6 times. Additionally, combined with the network hub node degree value, the weight coefficient of each optimization target is accurately calculated to find the weight coefficient distribution, and the weighted evaluation function value of the hub node concentrated region is minimized by the genetic algorithm. In order to verify the optimization effect, the statistical values of static insulation and network characteristics are analyzed.