The invention belongs to the field of comprehensive energy system stability and energy interaction between different systems under the condition of large-scale new energy grid connection, particularlyrelates to a stability analysis method of an electricity-gas coupling comprehensive energy system based on an N-1 fault, solves the problems in the background technology, and comprises the followingspecific steps: randomly generating a fault matrix, and judging the fault type; solving a stability analysis index according to the fault type, and searching weak nodes of the electricity-gas couplingcomprehensive energy system; and judging whether the fault operation state of each element is considered or not, if so, carrying out stability analysis on the electricity-gas coupling comprehensive energy system, and otherwise, repeating the previous step. According to the invention, the problems in the background technology are solved; the situation of energy interaction between different systems is embodied, the stability of the electricity-gas coupling comprehensive energy system can be comprehensively analyzed, the influence of output change of a new energy unit on partial stability of anatural gas system is researched, and the energy complementation limit points of an electric power system and the natural gas system can be solved.