Abstract: A spiral displacement machine for compressible media is described which has at least one displacement chamber in the form of a spiral-shaped groove arranged in a stationary housing and also has a spiral rib-shaped displacement body associated with each displacement chamber. Each displacement body is on the side of a disc-shaped rotor which is driven eccentrically in a translatory movement relative to the housing. During operation, each peripheral point of the displacement body performs a circular movement bounded by the peripheral walls of the associated displacement chamber. At the edges of the displacement bodies and of the housing walls forming the displacement chambers, sealing strips mounted in spiral grooves engage the adjacent surfaces of the other component of the machine.