In this study, an analysis technique that can estimate the temperature rise and thermal deformation of the ventilated disc considering vehicle information, braking condition and properties of the disc and pad is developed. The analytical process of the braking power generation during braking is mathematically derived. The thermal energy that is applied to the surface of a disc as heat flux is calculated when a vehicle is decelerating from 130 km/h to 0 km/h with deceleration of 0.4 g. Then, the temperature rise and thermal deformation of a disc are calculated through the thermo-mechanical analysis by using SAMCEF code. The shape of the cross section of the disc is optimized according to the response surface analysis method in order to minimize the temperature rise and thermal deformation. As a result of optimization, it is concluded that the temperature rise and thermal deformation of the disc become minimum at the same condition. The hot judder analysis is carried out using the original and optimized disc to validate the optimization result.