Aimed to damping connective structure,using series-parallel particles layer model,along the connected-building direction put the El Centro1940 seismic wave for the structure,the influence on seismic response is discussed while the natural vibration period ratio of adjacent structures and damping stiffness of connective structure are changed.Research results show that the natural vibration period ratio of adjacent structures and damping stiffness of connective structure have a greater impact for the seismic response of the damping connective structure,on the other hand,there is a period ratios and damping stiffness which make the seismic response to optimal.The result provide some reference to the practical application and research.