The invention discloses a generalized Galerkin-based high-order track sensitivity calculation method, and belongs to the field of power system stability analysis and control. By proposing the generalized Galerkin-based high-order track sensitivity calculation method and considering high-order information, the accuracy of a power system during safety analysis and control is improved, and the degreeof state response affected by certain control parameters or an initial condition during the dynamic process of the system can be more comprehensively reflected; and meanwhile, a generalized Galerkinmethod is used during calculation of high-order track sensitivity, decoupling among projection equations is achieved by selecting a special test basis function, and the requirement of rapid calculation is compatible. The method can be applicable to various complicated dynamic processes of the power system, various conditions of the system during running can be comprehensively considered, the generalized Galerkin-based high-order track sensitivity calculation method is wide in application range and fast in solution speed, and a scientific and reasonable analysis scheme can be provided for safety and stability analysis and control of the power system.