A variable displacement swash plate compressor comprising: a housing including a cylinder bore (45, 50) and a swash plate chamber; a drive shaft rotatably supported in the housing; a link mechanism that rotates integrally with the drive shaft; a swash plate accommodated in the swash plate chamber and adapted to rotate when receiving driving force from the drive shaft through the link mechanism, wherein an inclination angle of the swash plate to the drive shaft is variable; a double head piston that is movably arranged in the cylinder bore (45, 50) and adapted to reciprocate in the cylinder bore (45, 50) and compress refrigerant when the swash plate rotates, wherein the double head piston includes a first end that defines a first compression chamber in the cylinder bore (45, 50) and a second end that defines a second compression chamber in the cylinder bore (45, 50); a first suction chamber that is located in the housing and in communication with the first compression chamber; a second suction chamber that is arranged in the housing and in communication with the second compression chamber, wherein the drive shaft includes an input end section extending from the second suction chamber toward outside of the housing; and a shaft sealing device that is arranged between the input end section of the drive shaft and the housing and adapted to limit leakage of refrigerant out of the housing from the second suction chamber, wherein the link mechanism is adapted to support the swash plate in a manner that allows for variation in the inclination angle of the swash plate, according to the variation in the inclination angle of the swash plate, a top dead center of the double head piston in the first compression chamber is displaced and a top dead center of the double head piston in the second compression chamber is displaced, a suction port is located in the housing, wherein refrigerant is drawn into the housing through the suction port from outside of the housing, a first suction passage extends from the suction port to the first suction chamber without passing through the second suction chamber and the swash plate chamber, and a second suction passage extends from the first suction chamber to the second suction chamber; characterized in that the displacement of the top dead center in the first compression chamber is greater than the displacement of the top dead center in the second compression chamber. a housing including a cylinder bore (45, 50) and a swash plate chamber; a drive shaft rotatably supported in the housing; a link mechanism that rotates integrally with the drive shaft; a swash plate accommodated in the swash plate chamber and adapted to rotate when receiving driving force from the drive shaft through the link mechanism, wherein an inclination angle of the swash plate to the drive shaft is variable; a double head piston that is movably arranged in the cylinder bore (45, 50) and adapted to reciprocate in the cylinder bore (45, 50) and compress refrigerant when the swash plate rotates, wherein the double head piston includes a first end that defines a first compression chamber in the cylinder bore (45, 50) and a second end that defines a second compression chamber in the cylinder bore (45, 50); a first suction chamber that is located in the housing and in communication with the first compression chamber; a second suction chamber that is arranged in the housing and in communication with the second compression chamber, wherein the drive shaft includes an input end section extending from the second suction chamber toward outside of the housing; and a shaft sealing device that is arranged between the input end section of the drive shaft and the housing and adapted to limit leakage of refrigerant out of the housing from the second suction chamber, wherein the link mechanism is adapted to support the swash plate in a manner that allows for variation in the inclination angle of the swash plate, according to the variation in the inclination angle of the swash plate, a top dead center of the double head piston in the first compression chamber is displaced and a top dead center of the double head piston in the second compression chamber is displaced, a suction port is located in the housing, wherein refrigerant is drawn into the housing through the suction port from outside of the housing, a first suction passage extends from the suction port to the first suction chamber without passing through the second suction chamber and the swash plate chamber, and a second suction passage extends from the first suction chamber to the second suction chamber; the displacement of the top dead center in the first compression chamber is greater than the displacement of the top dead center in the second compression chamber.