Proper operation of the braking system in all driving conditions is very effective in saving the lives of car occupants. One of the friction brake systems is the disc and pad braking system. In this study, using FGM disk and pad, the improvement in heat transfer and thermal properties of the brake system is investigated and a three-dimensional analytical model is considered to determine the contact temperature distribution on the brake surface. Considering the effects of the pad as a heat source, the finite element method is used to determine the temperature range of the disk with proper thermal boundary conditions. The material properties of the disc and brake pad components change according to the power law distribution in the direction of thickness, and the effect of the disc and pad properties on the results of thermal analysis is investigated. It was shown that by selecting the FGM structure once for the disc alone and once for the disc and pad with layers of specified materials, the heat transfer rate can be increased and the thermal damage can be reduced. The maximum temperature in the FGM structure is 324 ° C, while the value used in the past research was 279 ° C and the slope of temperature decrease in the FGM structure is higher than the non-FGM structure; which indicates the ability of the FGM structure to improve heat transfer due to braking.