In this paper, a numerical method for global sensitivity analysis of system parameters and transfer paths in response to vibration transfer path systems is proposed. Considering the randomness of structural parameters,we obtain the stochastic statistical characteristics of the output response of each path, as well as the quantitative relationship between the parameters of the system and the response of the receiver. Based on the numerical method, the importance paths ranking and the sensitivity ranking of the system parameters can be quantitatively expressed in the vibration transfer path system. Taking the typical multi degree-of-freedom vibration path analysis model as an example, we discuss the process of important analysis for the transfer path system. The correctness and feasibility of the algorithm are verified by comparison with Monte-Carlo stochastic simulation results.