Multistage piston compressor

A multistage piston compressor for a gaseous or cryogenically liquefied medium with at least two compressor stages, which operatively interact with a shared drive train for purposes of joint powering, wherein each compressor stage exhibits a piston that is mechanically connected with the drive train, and arranged in a compressor cylinder so that it can longitudinally shift, characterized in that the piston of the respective compressor stage is connected with a liquid column of an incompressible liquid situated in the compressor cylinder, which converts a piston stroke motion of the piston into a motion of a compressor piston arranged in the compressor cylinder so that it can longitudinally shift, wherein the liquid column for changing the compressor stroke of the compressor piston can be connected with an outlet.