Disclosed is a mechanical coupling apparatus, in particular, a clutch-brake apparatus comprising an actuating disc (10), a braking disc (30), a shaft sleeve (41), a friction disc (50), a main coupling body (60), an intermediate disc (70), and a cutting tool seat (80). The coupling and dis-coupling between the main coupling body (60) and a flange (45) of the shaft sleeve is achieved by a cooperative motion between the intermediate disc (70) and the adjacent main coupling body (60) and the cutting tool seat (80). The clutch-brake apparatus can be used for coupling of the engine and cutting blades of a lawn mower or other applications, and is reliable, of high load capability, stable and durable.