The phenomenon of vehicle braking is very complex, because during the braking process, the heat will be generated on the braking disc and the braking pads. This will cause the penetration in the contacting surfaces. In this research paper, three-dimensional model is developed and validated using finite element technique. It was used ANSYS/Workbench 14.5 software, Transient Structural module to achieve the numerical analysis. During the stopping process, the high temperatures appeared on the braking pads, where the temperature exceeded 150 ℃ when applied pressure is 0.9 MPa. While, when the applied pressure is 1.1 MPa the temperature on the contact surface is exceeded 180 ℃, after just 1.3 s. The important conclusion based on the results is the most significant factors on the distribution and magnitude of temperature that appear on the contact surfaces are applied pressure and the penetration. Besides that, it was found, that the penetration in high measure depends on the temperature, which proves the value of the coherence, which is almost equal to 1.