Aiming to handle the complex situation where the parameters of the powertrain mounting system （PMS） of an electric vehicle were both uncertain and correlated， the global sensitivity analysis of the PMS inherent characteristics to system parameters was investigated by considering the correlation of uncertain parameters. Firstly， the PMS uncertain parameters was treated as probabilistic variables with correlation， and the first-and total-order global sensitivity formulas were derived based on variance decomposition. Then， a method for solving the global sensitivity indexes was proposed based on the Monte Carlo Method （MCM）. Next， the global sensitivity formulas were further derived for the case where the probabilistic variables are normally distributed， and the required sample sets to calculate the global sensitivity indexes were constructed by using MCM. Finally， the effectiveness of the proposed method was demonstrated by the numerical example of an electric vehicle PMS. The analysis results show that the parametric correlation has some effect on the sensitivities of the intrinsic frequency and decoupling rate responses to uncertain parameters， and the parametric correlation should be taken into account to obtain more reasonable results of sensitivity analysis.