In order to study the effect of disc brake system parameters on brake chatter, we established a two degrees of freedom kinetic model. We studied the influence of braking initial velocity, braking pressure, system stiffness and damping on the kinetic characteristics of the brake system, using Matlab to perform numerical simulation analysis. We obtained the following conclusions from the displacement curves and phase diagrams: The duration of the viscous phase of the system decreased with increasing brake initial velocity and gradually became stable; when the brake pressure was relatively small, the braking system was in the steady state; as the brake pressure increased, the vibration amplitude of the friction plate and the brake disc increased, as did the vibration intensity; when the damping increased, the friction plate and the brake disc reached the steady state motion in less time from the initial pure sliding motion; the friction plate was able to reach a steady state in a smaller braking stiffness than the brake disc did.