In this paper, based on density functional theory(DFT), The molecular models of intrinsic graphene and two typical decomposition NF₃ and N₂O were constructed and optimized. Secondly, NF₃ and N₂O gases approach the intrinsic graphene with different atomic orientations, and the adsorption distance, adsorption energy and charge transfer of NF₃ and N₂O gases on intrinsic graphene were calculated. Finally, the adsorption mechanism between Gas molecule and graphene structure was obtained by analyzing the density of states(DOS) and partial density of states(PDOS). The adsorption energy and charge transfer between these two gases and intrinsic graphene are very small, indicating that intrinsic graphene is not sensitive to NF₃ and N₂O gases.