Abstract: With the large-scale integration of distributed generation and electric vehicles, the stochastic factors in DC distribution systems are increasing. Random disturbance of DC source-load devices and uncertainties in AC line parameters and filter capacitor parameters can impair the stability of the system. This paper establishes a stochastic dynamic model of DC distribution systems, and proposes a stochastic stability control method based on the Hamilton system theory. A pre-feedback control law and a stabilization controller are designed, and the dynamic performance and stability of the system before and after adding the stabilization controller are compared by simulation and experimental systems. The results show that the designed stabilization controller can suppress the oscillation generated by random disturbances and improve the dynamic performance and stability of the system.