The structure of a large museum is novel, with a zigzag-shaped steel suspension bridge system in the atrium. To study the impact of this system on the overall seismic performance of the museum, ABAQUS software was used to create two 3D models: Model I without the system and Model II with the system. An in-depth analysis was conducted on the time-history response laws of maximum roof displacement, inter-story drift angle, and roof acceleration under frequently and rarely occurring earthquake conditions, providing a comprehensive study of the seismic performance. The study found that the maximum roof displacement and acceleration increased with the floor height in both models. Model II showed an average reduction of over 44.85% in roof displacement response and 35.77% in acceleration response compared to Model I. The inter-story drift angle in both models initially increased and then decreased with floor height, reaching a maximum on the second floor. Model II exhibited an average reduction of over 33.07% in inter-story drift angle compared to Model I. The inter-story shear force decreased with floor height, with an average reduction of over 40.03% in Model II compared to Model I. The results indicate that the suspension bridge system constrains the displacement of the museum's outer frame structure, thereby reducing the overall structural displacement, inter-story drift angle, and significantly enhancing the overall structural stiffness and seismic performance.