Abstract: In this study, the heat conduction problems of the disk brake components (pad and rotor) are modeled mathematically and is solved numerically using Finite Difference Method. In the discretization of time dependant equations the implicit method is taken into account. In the derivation of the heat equations, parameters such as the duration of braking, vehicle velocity, geometries and the dimensions of the brake components, materials of the disk brake rotor and the pad and contact pressure distribution have been taken into account. Results show that there is a heat partition at the contact surface of two sliding components, because of thermal resistance due to the accumulation of wear particles between contact surfaces. This phenomenon prevents absorption of more heat by the discs and causes brake lining to be hot. As a result, heat soaking to the brake fluid increases and may cause brake fluid to evaporate.