In the phenomenon of brake noise， the parametric uncertainty and correlation inevitably exist in the automotive brake sys? tems， leading to some uncertainty and correlation of the system response. To address this problem， the uncertainty and correlation analysis for the stability responses of brake systems was carried out. A multi-ellipsoidal convex model was used to depict the uncer? tainty and correlation of system parameters， and the stability responses of system were characterized by the unstable modal damp? ing ratios. The Monte Carlo simulation， the first-order perturbation method and the second-order perturbation method were respec? tively combined with the multi-ellipsoidal convex model respectively， and three uncertainty analysis methods of system stability re? sponses were proposed. Based on the Monte Carlo simulation and the first-order perturbation method， two correlation analysis methods of system uncertain responses were developed respectively. The combinatorial methods for establishing the ellipsoid do? mains of system responses were presented by combining the uncertainty analysis and correlation analysis methods. A numerical ex? ample was given to verify the effectiveness of the proposed methods. The analysis results demenstrate that the proposed methods can effectively obtain the boundary intervals， correlation coefficients and ellipsoid domains of system responses， and the methods have high computational accuracy and efficiency.