Viscous dampers are widely used in vibration energy dissipation project. The researches on viscous dampers used in energy dissipation project at present are more, and one of the main research contents is about how to improve energy dissipation efficiency. In the current study, the effect of the supporting stiffness in dampers is neglected, and only its strength and stiffness is verified. Based on the research on the principle and mechanical model of viscous damper, the influence of supporting stiffness on various energy dissipation working parameters has been analyzed in this paper. The results showed that, supporting stiffness has great influence on the energy dissipation efficiency, then with energy dissipation efficiency as the index, this paper derived the generality support stiffness design formula for energy consumption optimizing, which provide scientific basis for similar design.