A double-headed piston type swash plate compressor includes first and second cylinder blocks, a rotation shaft, a double-headed piston, a crank chamber, a drive force transmission member, a swash plate, a movable body, a control pressure chamber, and a support. The control pressure chamber is defined by the movable body in the housing. The control pressure chamber moves the movable body in the axial direction of the rotation shaft. The support is located on the swash plate and supported by the rotation shaft. The drive force transmission member and the movable body are located at a first side of the swash plate in the axial direction of the rotation shaft, and the support is located at a second side of the swash plate. The drive force transmission member, the movable body, and the support set the inclination angle of the swash plate relative to the rotation shaft.