A variable capacity compressor comprising: a compression chamber configured to compress a working fluid, an inlet chamber configured to house the working fluid to be compressed in the compression chamber; a discharge chamber configured to house the working fluid compressed in the compression chamber and discharged therefrom; a control pressure chamber including a drive shaft penetrating therethrough and housing a swash plate rotating in accordance with a rotation of the drive shaft; a supply passage configured to cause the discharge chamber and the control pressure chamber to communicate with each other; a bleed passage (41, 42) configured to cause the control pressure chamber and the inlet chamber to communicate with each other; a first control valve including a first valve portion configured to adjust an opening degree of the supply passage; and a second control valve provided on the bleed passage, wherein the second control valve includes a spool housing recess formed on the bleed passage, a spool housed in the spool housing recess and configured to be movable to open and close the bleed passage; a back pressure chamber segmentalized in the spool housing recess behind the spool; and biasing means configured to bias the spool in an opening direction in the bleed passage, wherein the supply passage being connected to the back pressure chamber on the downstream side of the first valve portion of the first control valve to open and close the bleed passage based on the pressure in the back pressure chamber, characterized in that the first control valve further includes: a low-pressure side passage branched from the supply passage at a point downstream of the first valve portion and communicating with the inlet chamber, and a second valve portion configured to adjust an opening degree of the low-pressure side passage, the first valve portion and the second valve portion are in an interlocked relationship such that when one closes its corresponding passage, the other opens its corresponding passage, and the back pressure chamber is selectively connected to the discharge chamber or the inlet chamber via the first valve portion or the second valve portion of the first control valve. a compression chamber configured to compress a working fluid, an inlet chamber configured to house the working fluid to be compressed in the compression chamber; a discharge chamber configured to house the working fluid compressed in the compression chamber and discharged therefrom; a control pressure chamber including a drive shaft penetrating therethrough and housing a swash plate rotating in accordance with a rotation of the drive shaft; a supply passage configured to cause the discharge chamber and the control pressure chamber to communicate with each other; a bleed passage (41, 42) configured to cause the control pressure chamber and the inlet chamber to communicate with each other; a first control valve including a first valve portion configured to adjust an opening degree of the supply passage; and a second control valve provided on the bleed passage, wherein the second control valve includes a spool housing recess formed on the bleed passage, a spool housed in the spool housing recess and configured to be movable to open and close the bleed passage; a back pressure chamber segmentalized in the spool housing recess behind the spool; and biasing means configured to bias the spool in an opening direction in the bleed passage, wherein the supply passage being connected to the back pressure chamber on the downstream side of the first valve portion of the first control valve to open and close the bleed passage based on the pressure in the back pressure chamber, characterized in that the first control valve further includes: a low-pressure side passage branched from the supply passage at a point downstream of the first valve portion and communicating with the inlet chamber, and a second valve portion configured to adjust an opening degree of the low-pressure side passage, the first valve portion and the second valve portion are in an interlocked relationship such that when one closes its corresponding passage, the other opens its corresponding passage, and the back pressure chamber is selectively connected to the discharge chamber or the inlet chamber via the first valve portion or the second valve portion of the first control valve.