Abstract: A structural system for energy dissipation and shock absorption with displacement amplification damping walls across multiple stories is presented. According to structural characteristics of the cable-bracing displacement amplification damping wall, the deformation and force characteristics of the device were analyzed, and presented theoretical formulations for the cable-type damping wall system’s damping force and energy dissipation. The simplified numerical model was established, the parameters that affect the structural performance indicators were analyzed in detail, the fixed-point theory was used to design the optimal parameters of the cable-type damping system, and the energy-dissipating deformation magnification equation was derived to quantify the degree of damping efficiency. A 30-story concrete frame core tube was analyzed for the seismic time-history analysis, though the vibration absorption efficiency of the three damping wall layout schemes of displacement amplification damping wall installed in single story and cable-bracing displacement amplification damping wall system installed in multi-story were compared, it is found that the cable-bracing displacement amplification damping wall system installed in multi-story has a better shock-absorption effect.