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 appropriate braking force depending upon an engine revolution speed area when a decompression braking request is issued, 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 to a first position at which a degree of openings in a closure stroke of an exhaust valve whose valve stem is linked to the rocker arm is relatively small and to a second position at which the degree of openings in the closure stroke thereof is relatively large and an actuator having a plunger linked to the eccentric bushing member hydraulically actuates the eccentric bushing member to pivot so that the swing center of the rocker arm is displaced to either of the first or second position depending on an engine revolution speed when a decompression braking request is issued.