A control valve (1, 201, 301, 401) for a variable displacement compressor, the control valve varying a discharging capacity of the compressor for compressing refrigerant led into a suction chamber of the compressor and discharging the compressed refrigerant from a discharge chamber of the compressor, by regulating a flow rate of the refrigerant led into a crankcase of the compressor from the discharge chamber, the control valve (1, 201, 301, 401) comprising: a body (5, 205, 305, 405) having a main valve in a main passage, which communicates between the discharge chamber and the crankcase, and a sub-valve in a sub-passage, which communicates between the crankcase and the suction chamber; a main valve seat provided in a part in the body forming the main passage; a main valve element configured to open and close the main valve by touching and leaving the main valve seat; a sub-valve seat provided in a part in the body forming the sub-passage; a sub-valve element (36, 236, 336, 436) configured to open and close the sub-valve by touching and leaving the sub-valve seat; a pressure-sensing section (6, 206) configured to sense a predetermined pressure-to-be-sensed (Ps) and configured to generate a drive force exerted in an opening direction of the main valve in accordance with a magnitude of the pressure-to-be-sensed (Ps); and a solenoid (3, 203, 303, 403) configured to generate a drive force in a closing direction of the main valve in accordance with an amount of current supplied, wherein the main valve operates so that the pressure-to-be-sensed (Ps) becomes a set pressure (Pset) set according to a current supplied to the solenoid, wherein the sub-valve remains closed during a control state of the main valve in which the pressure-to-be-sensed (Ps) becomes the set pressure (Pset), wherein the sub-valve is opened after the main valve is closed, and wherein a change in an area of opening of the sub-valve relative to an uplift amount of the sub-valve element (36, 236, 336, 436) from the sub-valve seat is larger than that of the main valve relative to an uplift amount of the main valve element from the main valve seat when the uplift amount of the sub-valve element is equal to the uplift amount of the main valve. a body (5, 205, 305, 405) having a main valve in a main passage, which communicates between the discharge chamber and the crankcase, and a sub-valve in a sub-passage, which communicates between the crankcase and the suction chamber; a main valve seat provided in a part in the body forming the main passage; a main valve element configured to open and close the main valve by touching and leaving the main valve seat; a sub-valve seat provided in a part in the body forming the sub-passage; a sub-valve element (36, 236, 336, 436) configured to open and close the sub-valve by touching and leaving the sub-valve seat; a pressure-sensing section (6, 206) configured to sense a predetermined pressure-to-be-sensed (Ps) and configured to generate a drive force exerted in an opening direction of the main valve in accordance with a magnitude of the pressure-to-be-sensed (Ps); and a solenoid (3, 203, 303, 403) configured to generate a drive force in a closing direction of the main valve in accordance with an amount of current supplied, wherein the main valve operates so that the pressure-to-be-sensed (Ps) becomes a set pressure (Pset) set according to a current supplied to the solenoid, wherein the sub-valve remains closed during a control state of the main valve in which the pressure-to-be-sensed (Ps) becomes the set pressure (Pset), wherein the sub-valve is opened after the main valve is closed, and wherein a change in an area of opening of the sub-valve relative to an uplift amount of the sub-valve element (36, 236, 336, 436) from the sub-valve seat is larger than that of the main valve relative to an uplift amount of the main valve element from the main valve seat when the uplift amount of the sub-valve element is equal to the uplift amount of the main valve.