Transient ground potential rise (TGPR) and transient electromagnetic field generated by the switching operation of gas insulated switchgear (GIS) pose a great threat to the safety of the personnel in the station as well as the stable operation of the secondary equipment. The arc model has a great influence on the simulation calculation of TGPR and transient electromagnetic field. In this paper, a three-dimensional transient electromagnetic simulation model of GIS is established, and the effects of different arc models and model parameters on the simulation results of TGPR and spatial electric field are investigated by applying the finite integration time domain method. Through the analysis, it is found that the simulated waveform amplitude is higher under the ideal switching model and constant resistance model, and the simulated waveform amplitude is lowest under the hyperbola-like model. The simulated waveforms and pulse amplitudes under the exponential and segmented resistance models are almost the same. In the segmented resistance model, the amplitudes of TGPR and spatial electric field tend to decrease when the variable parameter of steady resistance increases. The waveform amplitudes of TGPR and spatial electric field are almost unaffected when the equivalent length and equivalent radius of the arc model change.