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A new approach of modeling is put forward to representing functions of clutch and brake directly, and their functional models are proposed in this report. Rotary motion is the most important type of motion for transmitting the kinetic energy, so many rotary parts and apparatus, for example the crutches and brakes, are used in most of machines. It is difficult to model function of the rotary element directly without relying on its structure by the conventional modeling approaches, for example the finite element method. The basic concept of the proposed approach is introduced, and the functional models of the hydraulic clutch with multiple plates, the clutch with vibration absorbing mechanism, the disc brake and the band brake are presented. Simulation results verify validity and usefulness of the proposed approach.