Squeal noise is an important issue in the automotive industry since it is one of the main reasons for the return of vehicles to the customer service. Hence, it is essential to predict it in the design stage of a brake system. The Complex Eigenvalue Analysis (CEA) remains the most widely used method to predict squeal noise in the automotive industry. The numerical cost associated to this method is important enough to make impossible the use of parametric studies. The present study proposes the use of the kriging method to surrogate the eigenvalues computed by the CEA by taking into consideration different uncertain parameters, namely the friction coefficient and two small masses added to the caliper that correspond to a classical choice of structural modifications used in the final phase of a brake design to avoid squeal noise. Thus, it is possible to assess the influence of the structural modifications on the stability of the brake system and to get information to choose the best brake design. Finally, uncertainty propagation is performed to get a robust design of the brake.