On the basis of the powerflow theory and four-end parameter analysis method, the responses and the powerflow characteristics of the vibration transfer path system are examined. The sensitivity of non-linear damping is employed as measurement criterion. The powerflow and powerflow sensitivity are obtained and the effect on powerflow and powerflow sensitivity of dry friction damping, fluid damping and structural damping is studied. Numerical results are also presented and discussed. It is supposed to study the sensitivity of these parameters, to estimate the effect of the change of parameters, to improve the design performance.