The cables of the cable-stayed bridge are connected by cross-ties and grounding dampers to form the multi-cable network-damper system, so that the cables can achieve the effect of vibration reduction. In order to study the variation of the natural vibration characteristics of the multi-cable network-damper system under the excitation of the bridge deck motion, firstly, the model of N-cable network-damper system is proposed, the system equilibrium equation is established, and the influence of bridge deck motion is introduced. Then the system equilibrium equation is simplified and solved by using Wolfram Mathematica software. Finally, the parameters of the system are analyzed to study the influence of different parameters on the natural vibration characteristics of the system, and the changes of the natural vibration characteristics of the system with and without the bridge deck motion are compared. The results show that the excitation of the bridge deck motion has a significant effect on the natural vibration characteristics of the multi-cable network-damper system. The frequency of each order of the system increases with the increase of damping coefficient. During the excitation of bridge deck motion, the natural vibration frequency of the system decreases compared with that without bridge deck motion, and the curves related to the relationship between damping coefficient and damping ratio of the system moves backward compared with that without bridge deck motion. When the position of the cross-ties is farther away from the middle of the cable, the stiffness of the cross-ties is smaller, the position of the damper is closer to the boundary and the inclination angle of the cable is smaller, the damping ratio of the system is smaller, that is, the impact on the system is more adverse, and vice versa. When the bridge deck motion reaches resonance with the system, the damper almost loses the effect of vibration reduction and energy dissipation, which is the most adverse state of the system. Therefore, the resonance zone between the two should be avoided when the vibration reduction measures of the system are designed. [ABSTRACT FROM AUTHOR]