In a decompression braking apparatus which is applicable to a Diesel engine and is capable of switching an engine braking condition so as to achieve an engine revolution speed area when a decompression braking request is issued, a sleeve portion of an eccentric bushing member is pivotally interposed between an inner periphery of a rocker arm and an outer periphery of a rocker shaft fitted into the rocker arm so as to be enabled to displace a swing center of the rocker arm toward a downward direction aligned with an open direction of an exhaust valve whose degree of openings in a closure stroke thereof is varied, a first actuator is so constructed and arranged as to actuate the eccentric bushing member to be pivoted so that the swing center of the rocker arm is displaced to a second position at which the degree of openings of the exhaust valve in the closure stroke is relatively large and a second actuator is so constructed and arranged as to limit the pivotal movement of the eccentric bushing member according to the actuation by means of the first actuator so that the swing center of the rocker arm is displaced to a first position at which the degree of openings of the exhaust valve during the closure stroke is relatively small.