This paper is concerned with the disc brake squeal problem for automotive vehicles. The purpose of the present research tries to reduce the instability of the squeal mode and to improve the comfortless discord volume in the car. In the current study, the ABAQUS/Standard (Implicit method) finite element numerical model was constructed to perform the dynamic contact vibration analysis of a disc brake system containing a brake disc, brake pads, caliper, and brake shoe. Brake pads with specific chamfer patterns and a brake disc with cooling ribs for ventilation and heat transfer were constructed numerically in the present system. The effect of brake pad chamfer pattern on the unstable frequency distribution, which may result in the brake squeal phenomenon, is studied. A disc rotational velocity of 2.5 rad/s was studied numerically when the pad was uniformly pressurized to 200 psi (1.379 MPa) on the brake shoe. The Lanczos method is used to find the natural frequencies of brake system in question, and then use the complex eigenvalue method to extract the unstable squeal high frequencies between the brake disc and brake pads for specific chamfer patterns with dry friction. A lining friction coefficient of 0.4 was selected to in the current analysis in order to determine the uncomfortable brake squeal vibration frequencies distribution with specific chamfer patterns.