Abstract: In order to make full use of the convenience of the node admittance matrix modeling of the multi-node DC distribution system and realize the efficient determination of resonant stability, this paper extends the generalized Nyquist criterion by combing the node admittance matrix on the premise of the reduced-order modeling of the DC impedance of the interface converter, and uses Ward equivalent to give a simplified criterion applying the eigenvalue resonant frequency and damping factor. Furthermore, in order to meet the needs of rapid stability determination, a solution method of eigenvalue resonant frequency (damping factor) combining disc estimation and Newton iteration is proposed. Finally, taking the three-terminal DC distribution system as an example, the effectiveness and efficiency of the proposed stability analysis method is verified by comparing the eigenvalue trajectories in state space, the generalized Nyquist curves of transfer matrix and the time-domain simulation using MATLAB/Simulink.