A capacity control valve (1; 2) for controlling a flow rate or pressure of a variable capacity compressor according to a valve opening of a valve section, the capacity control valve comprising: a solenoid (30; 50) including a first plunger (34; 44) having a first rod , and a second plunger (35; 45) having a second rod ; a valve main body having a first communication passage through which a fluid at a first pressure (Ps) passes, a second communication passage which is arranged adjacent to the first communication passage and through which a fluid at a second pressure (Pd) passes, a third communication passage through which a fluid at a third pressure (Pc) passes, and a main valve seat arranged in a valve hole for communicating the second communication passage and the third communication passage , wherein the first pressure (Ps) is a suction pressure (Ps) of the variable capacity compressor, the second pressure (Pd) is a discharge pressure (Pd) of the variable capacity compressor, and the third pressure (Pc) is a pressure (Pc) of a crank chamber of the variable capacity compressor; a pressure-sensitive body which is arranged in the valve main body on the third communication passage side and which is configured to extend and contract under an action of a vacuum or air present in its interior space, the suction pressure (Ps), and a force exerted by the second rod on a flange part of the pressure-sensitive body ; and a valve body having an intermediate communication passage for communicating the first communication passage and the third communication passage , a main valve part for opening and closing the valve hole by separating from and contacting the main valve seat , and an auxiliary valve part arranged in the intermediate communication passage ; wherein the second rod is arranged to penetrate the first plunger (34; 44), the first rod and the valve body and is arranged in the intermediate communication passage , and the first rod is configured to open and close the main valve part and the second rod is configured to open and close the auxiliary valve part . a solenoid (30; 50) including a first plunger (34; 44) having a first rod , and a second plunger (35; 45) having a second rod ; a valve main body having a first communication passage through which a fluid at a first pressure (Ps) passes, a second communication passage which is arranged adjacent to the first communication passage and through which a fluid at a second pressure (Pd) passes, a third communication passage through which a fluid at a third pressure (Pc) passes, and a main valve seat arranged in a valve hole for communicating the second communication passage and the third communication passage , wherein the first pressure (Ps) is a suction pressure (Ps) of the variable capacity compressor, the second pressure (Pd) is a discharge pressure (Pd) of the variable capacity compressor, and the third pressure (Pc) is a pressure (Pc) of a crank chamber of the variable capacity compressor; a pressure-sensitive body which is arranged in the valve main body on the third communication passage side and which is configured to extend and contract under an action of a vacuum or air present in its interior space, the suction pressure (Ps), and a force exerted by the second rod on a flange part of the pressure-sensitive body ; and a valve body having an intermediate communication passage for communicating the first communication passage and the third communication passage , a main valve part for opening and closing the valve hole by separating from and contacting the main valve seat , and an auxiliary valve part arranged in the intermediate communication passage ; wherein the second rod is arranged to penetrate the first plunger (34; 44), the first rod and the valve body and is arranged in the intermediate communication passage , and the first rod is configured to open and close the main valve part and the second rod is configured to open and close the auxiliary valve part . <EOS>