TEV is a transient over-voltage with large amplitude and high frequency. It will affect the normal operation of the GIS secondary equipment. This study is based on the theory of multi-conductor transmission line. The coupled relationship among three phases was decoupled by means of phase-mode transformation method, thus the enclosure transmission characteristic model of GIS is established. On the basis of this, the GIS enclosure transmission characteristic model, the internal conductor transient circuit model and the grounding network transient model is combined. A complete GIS high frequency transient mathematical model is established. The transient enclosure voltage on the GIS is calculated according to the new high frequency transient model. The result show that the maximum of the TEV values occurs on the shell of outlet line bushing or inlet line bushing. Moreover, the size of the grounding grid mesh and the number of ground lines is analyzed for the effect on the TEV peak. Under the same conditions, the results show that the larger the mesh size is, the smaller the amplitude of the TEV is. Otherwise, increasing the number of grounding lead at the same point and earthed on many points can decline the peak of TEV, however, when the number of grounding lead exceed two, TEV did not change significantly. Therefore, the size of grounding grid mesh and the number of ground lines can be considered in the actual situation.