A variable displacement compressor having a pressurizing passage (55), which extends through a cylinder block (12). The pressurizing passage (55) connects a discharge chamber (39) and a crank chamber (15). A valve (V) is arranged in the pressurizing passage (55). A drive shaft (16) rotates and produces centrifugal force that causes the valve (V) to open the pressurizing passage (55). The pressure of the crank chamber (15) is increased when the rotation of the drive shaft (16) is accelerated thereby opening the pressurizing passage (55) with the valve (V). This moves a swash plate (21) such that its inclination, relative to a plane perpendicular to the drive shaft (16), decreases. As a result, the compressor shifts from a maximum displacement state to a minimum displacement state, which improves the acceleration performance of an engine connected to the compressor. Furthermore, the displacement of the compressor in the minimum displacement state is 50% of that in the maximum displacement state. This prevents an excessive decrease in the cooling capability of the compressor.