The uncertainty and correlation propagation of a powertrain mounting system （PMS） of the battery electric vehicle are investigated， where the PMS parameters are both uncertain and correlated. The multi-dimensional parallelepiped （MP） model is used to quantify the uncertainty and correlation of system parameters. Then， based on MP model， the MP perturbation method for uncertainty propagation analysis of PMS inherent characteristics response is proposed by combining regularization method， Taylor expansion method and central difference scheme. Based on Monte Carlo method， degree of confidence and inherent characteristics response data， the correlation propagation analysis method of PMS inherent characteristic response is developed. The effectiveness of the proposed methods is verified by the numerical example of a battery electric vehicle PMS. The analysis results show that the uncertainty of system parameters makes the system response uncertain， and the correlation of system parameters makes the system response be of some correlation.