A pump discharge flow-rate control device for controlling a discharge flow rate of a variable capacity pump in accordance with a control pressure adjusted by a regulator, said pump discharges flow-rate control device comprising: a variable capacity pump configured to change a discharge flow rate in accordance with a control pressure (Pcg); a regulator configured to adjust the control pressure (Pcg); a constant capacity pump driven by a common driving source with the variable capacity pump; a resistor interposed in a signal pressure passage through which a working fluid discharged from the constant capacity pump flows; and a control pressure actuator configured to lower the control pressure (Pcg) by driving the regulator in accordance with a rise in a differential pressure before and after the resistor, characterized in that the resistor includes a fixed throttle and a check valve interposed in the signal pressure passage in parallel with each other, the check valve includes: a seat interposed in the signal pressure passage; a poppet arranged on a downstream side of the seat; and a spring configured to press the poppet to the seat, the fixed throttle has: an upstream side throttle hole opened in the poppet and communicating with an upstream side of the seat in the signal pressure passage; and a downstream side throttle hole connected to the upstream side throttle hole and communicating with a downstream side of the seat in the signal pressure passage, and a sectional area of the upstream side throttle hole is formed smaller than a sectional area of the downstream side throttle hole. a variable capacity pump configured to change a discharge flow rate in accordance with a control pressure (Pcg); a regulator configured to adjust the control pressure (Pcg); a constant capacity pump driven by a common driving source with the variable capacity pump; a resistor interposed in a signal pressure passage through which a working fluid discharged from the constant capacity pump flows; and a control pressure actuator configured to lower the control pressure (Pcg) by driving the regulator in accordance with a rise in a differential pressure before and after the resistor, characterized in that the resistor includes a fixed throttle and a check valve interposed in the signal pressure passage in parallel with each other, the check valve includes: a seat interposed in the signal pressure passage; a poppet arranged on a downstream side of the seat; and a spring configured to press the poppet to the seat, a seat interposed in the signal pressure passage; a poppet arranged on a downstream side of the seat; and a spring configured to press the poppet to the seat, the fixed throttle has: an upstream side throttle hole opened in the poppet and communicating with an upstream side of the seat in the signal pressure passage; and a downstream side throttle hole connected to the upstream side throttle hole and communicating with a downstream side of the seat in the signal pressure passage, and a sectional area of the upstream side throttle hole is formed smaller than a sectional area of the downstream side throttle hole. an upstream side throttle hole opened in the poppet and communicating with an upstream side of the seat in the signal pressure passage; and a downstream side throttle hole connected to the upstream side throttle hole and communicating with a downstream side of the seat in the signal pressure passage, and a sectional area of the upstream side throttle hole is formed smaller than a sectional area of the downstream side throttle hole.