Abstract: In this paper a numerical method for calculating temperature rise of the friction brake is proposed. This method is based on solving differential equation of heat conduction objected to convective and radiative boundary conditions by using the finite difference approach .'In order to show the applicability of the suggested method, the values calculated are comparated with one of the measurment. The results obtainted are in good agrement. This means we can estimate tmperafure rise when the friction brake is designed. So that, the method proposed in this paper will provid a favourable condition for designing mechanical press.