In this paper, we deal with a surface discharge that caused an aggravation of the dielectric strength in the $N_2/O_2$ mixture gas, When composit dielectrics were formed from the use of a solid dielectric. It was found from this study that the surface discharge voltage was deeply involved in the mixture ratio of $O_2$, the electrical property of the solid dielectric, kind of the solid dielectric, an electric field at the triple junction and a medium effect. These results expect basic data that will be used to transmission and distribution power system equipment using the $N_2/O_2$ mixture gas.