An exhaust-gas-recirculation system for use in diesel engines, having a valve member adapted to control the flow rate of the exhaust gas recirculated from the exhaust pipe to the intake pipe of the diesel engine. The exhaust-gas-recirculation system has a fly-weight rotatable in synchronization with the engine to produce a centrifugal force, a governor sleeve displaceable in response to a thrust thereon given by the fly-weight, a control spring counteracting the thrust on the governor sleeve and having a spring load changeable in response to the change in the amount of depression of an accelerator pedal, and an actuator operative in response to the displacement of the governor sleeve to actuate the valve member.