Abstract: The rapid development of satellite communication technology has led to increasing demands for higher precision and stability in large space antenna satellite, placing greater requirements on antenna structure dimensions and posing significant challenges for vibration control systems. To address the high flexibility and weak damping characteristics of large space hoop-column antenna structures, this paper proposes an active distributed cable vibration suppression scheme. The scheme achieves efficient vibration suppression by actively adjusting the pretension of the cables. Firstly, a dynamic model of the large space antenna is established. Based on controllability theory, the feasibility of the active cable vibration suppression scheme is evaluated. Subsequently, a Distributed Model Predictive Control (DMPC) strategy is applied to dynamically predict and optimize the cable pretension in real-time, enabling precise suppression of critical modal vibrations in large space antenna. Numerical simulations verify the effectiveness of this control scheme. Compared to traditional passive damping vibration suppression methods, the distributed active cable vibration suppression scheme demonstrates significantly higher efficiency in suppressing structural vibrations and markedly improves system stability and disturbance rejection capabilities.