A capacity control valve that controls a flow rate or pressure of a variable capacity compressor in accordance with a valve opening degree of a valve portion, the capacity control valve comprising: a valve main body having a first communication passage through which a fluid of first pressure (Ps; Pc) passes, a second communication passage arranged adjacent to the first communication passage, the second communication passage through which a fluid of second pressure (Pd) passes, a third communication passage through which a fluid of third pressure (Pc; Ps) passes, and a main valve seat arranged in a valve hole which provides communication between the second communication passage and the third communication passage; and a valve element having an intermediate communication passage providing communication between the first communication passage and the third communication passage, a main valve portion to be separated from and connected to the main valve seat so as to open and close the valve hole, and an auxiliary valve portion arranged in the intermediate communication passage; characterized by: a solenoid having a plunger, a core having a second through hole and arranged between the plunger and the valve main body, and an electromagnetic coil; a first rod arranged in the second through hole of the core and having a first through hole; a second rod arranged in the first through hole of the first rod; and a first biasing member and a second biasing member arranged between the plunger and the core; wherein the first rod has one end driven by the plunger via a first biasing member and another end connected to the valve element, and the second rod has one end connected to the plunger and another end connected to an auxiliary valve seat to be separated from and connected to the auxiliary valve portion, and the first rod opens and closes the main valve portion, and the second rod opens and closes the auxiliary valve portion. a valve main body having a first communication passage through which a fluid of first pressure (Ps; Pc) passes, a second communication passage arranged adjacent to the first communication passage, the second communication passage through which a fluid of second pressure (Pd) passes, a third communication passage through which a fluid of third pressure (Pc; Ps) passes, and a main valve seat arranged in a valve hole which provides communication between the second communication passage and the third communication passage; and a valve element having an intermediate communication passage providing communication between the first communication passage and the third communication passage, a main valve portion to be separated from and connected to the main valve seat so as to open and close the valve hole, and an auxiliary valve portion arranged in the intermediate communication passage; characterized by: a solenoid having a plunger, a core having a second through hole and arranged between the plunger and the valve main body, and an electromagnetic coil; a first rod arranged in the second through hole of the core and having a first through hole; a second rod arranged in the first through hole of the first rod; and a first biasing member and a second biasing member arranged between the plunger and the core; a solenoid having a plunger, a core having a second through hole and arranged between the plunger and the valve main body, and an electromagnetic coil; a first rod arranged in the second through hole of the core and having a first through hole; a second rod arranged in the first through hole of the first rod; and a first biasing member and a second biasing member arranged between the plunger and the core; wherein the first rod has one end driven by the plunger via a first biasing member and another end connected to the valve element, and the second rod has one end connected to the plunger and another end connected to an auxiliary valve seat to be separated from and connected to the auxiliary valve portion, and the first rod opens and closes the main valve portion, and the second rod opens and closes the auxiliary valve portion.