Abstract: The constant power property of VSC station with constant power control interacts with DC grid in multi-terminal DC distribution system, which easily causes the oscillation of DC voltage/current and even instability of the system. Therefore, this paper proposed an AC current feedback active damping control strategy suitable for constant power stations, which can make fully use of the existing AC measurement and avoid the introduction of new feedback paths. Firstly, based on the station average model with constant power control and the Thevenin equivalent circuit of the background DC distribution system, the differences of various damping strategies and their correlations in the DC side impedance characterization were analyzed. Secondly, by changing the sampling point and the feedback point, the reduced-order realization of AC current feedback active damping control strategy was obtained, and the parameter design method of damping compensation link was given based on the equivalent circuit impedance. Furthermore, the small-signal model of the constant power station with the proposed damping control strategy was established, and the input impedance model that can accurately reflect the characteristics of damping control was derived. Finally, taking the three-terminal DC distribution system as an example, it can be verified that the proposed strategy is effective in suppressing DC side oscillation and increasing the extreme of power transmission by the comparison of the Bode diagram, the small-signal characteristic value trace and the impedance Nyquist curve, the Matlab/Simulink time domain simulation and the RT-Lab hardware-in-the-loop experiment.