This paper presents an optimum design procedure of crown brakes. Crown brake differs from drum brake as it has heat input from both inner and outer surfaces. It also differs from disc brakes as it is equivalent to a disc brake with larger diameter, and the friction surfaces are curved into a cylindrical shape. This can improve the performance of previous commonly used brakes. On the other hand, this is the main cause of high thermal loads on the brake rotor. These loads can produce surface damage and rotor failure due to excessive surface temperature and thermal fatigue. Optimum design procedure is carried out in order to find out the optimum design variables. Multi-objective optimization is used which combines the minimization of the brake weight, and temperature due to braking. Constraints to the optimization problem are the geometrical constraints and the maximum thermal compressive stress. Design variables are taken to be the rotor diameter and thickness, rotor width, and pad arc of contact length. Optimum design results are presented graphically for a wide range of energies and deceleration rates.