A variable displacement swash plate type compressor, wherein a first swash plate (18) is connected to a drive shaft (16) so as to be rotated integrally with each other and double-head pistons (23) are anchored to the first swash plate (18) through shoes (25A) and (25B). The pistons (23) are reciprocatingly moved in the linear direction by the rotation of the first swash plate (18) according to the rotation of the drive shaft (16) to compress refrigerant gas. An annular second swash plate (51) is supported on the first swash plate (18) rotatably relative to each other through a ball bearing (52). The second swash plate (51) is disposed between the first swash plate (18) and the shoes (25B) on a compressive load receiving side slidably on the first swash plate (18) and the shoes (25B). Sloped faces (chamfered parts) are formed at the projected corner parts (18b) and (18c) of the first swash plate (18). Accordingly, the durability of the swash plates and the shoes can be increased.