A control valve for a variable displacement compressor for varying a discharging capacity of the compressor for compressing refrigerant led into a suction chamber and discharging the compressed refrigerant from a discharge chamber, by regulating a flow rate of the refrigerant led into a control chamber from the discharge chamber, the control valve comprising: a body having a discharge chamber communication port communicating with the discharge chamber, a control chamber communication port communicating with the control chamber, and a valve hole formed in a passage connecting the discharge chamber communication port and the control chamber communication port; a valve element for opening and closing a valve section, the valve element being arranged in such a manner as to move toward and away from the valve hole; a solenoid that generates a magnetic attractive force with which to drive the valve element in a valve closing direction, wherein a conduction state of the solenoid is controlled by a PWM (Pulse Width Modulation) technique; and a transmitting rod (34, 68) that transmits a drive force, generated by the solenoid, to the valve element, the transmitting rod (34, 68) being supported within the body and moving in a direction of axis line, the solenoid including: a bobbin; an electromagnetic coil wound around the bobbin; a core fixed to the body coaxially with the bobbin; a plunger disposed opposite to the core in a direction of axis line inside the bobbin, the plunger being displaceable integrally with the transmitting rod (34, 68) in the direction of axis line; a yoke (60, 62, 66), provided in such a manner as to surround the electromagnetic coil as well as the core and the plunger, the yoke forming a magnetic circuit when the electromagnetic coil electrically conducts; and characterized by having an asymmetrical structure by which balance of the magnetic attractive force radially acting on the plunger is biased toward one side, the asymmetrical structure including a structural portion asymmetric with respect to the axis line of the bobbin. a body having a discharge chamber communication port communicating with the discharge chamber, a control chamber communication port communicating with the control chamber, and a valve hole formed in a passage connecting the discharge chamber communication port and the control chamber communication port; a valve element for opening and closing a valve section, the valve element being arranged in such a manner as to move toward and away from the valve hole; a solenoid that generates a magnetic attractive force with which to drive the valve element in a valve closing direction, wherein a conduction state of the solenoid is controlled by a PWM (Pulse Width Modulation) technique; and a transmitting rod (34, 68) that transmits a drive force, generated by the solenoid, to the valve element, the transmitting rod (34, 68) being supported within the body and moving in a direction of axis line, the solenoid including: a bobbin; an electromagnetic coil wound around the bobbin; a core fixed to the body coaxially with the bobbin; a plunger disposed opposite to the core in a direction of axis line inside the bobbin, the plunger being displaceable integrally with the transmitting rod (34, 68) in the direction of axis line; a yoke (60, 62, 66), provided in such a manner as to surround the electromagnetic coil as well as the core and the plunger, the yoke forming a magnetic circuit when the electromagnetic coil electrically conducts; and characterized by having an asymmetrical structure by which balance of the magnetic attractive force radially acting on the plunger is biased toward one side, the asymmetrical structure including a structural portion asymmetric with respect to the axis line of the bobbin. a bobbin; an electromagnetic coil wound around the bobbin; a core fixed to the body coaxially with the bobbin; a plunger disposed opposite to the core in a direction of axis line inside the bobbin, the plunger being displaceable integrally with the transmitting rod (34, 68) in the direction of axis line; a yoke (60, 62, 66), provided in such a manner as to surround the electromagnetic coil as well as the core and the plunger, the yoke forming a magnetic circuit when the electromagnetic coil electrically conducts; and characterized by having an asymmetrical structure by which balance of the magnetic attractive force radially acting on the plunger is biased toward one side, the asymmetrical structure including a structural portion asymmetric with respect to the axis line of the bobbin.