A liquid-cooled compressor uses a simple configuration to reduce the vibration of piping and noise which is transmitted from a device connected to the piping. An oil-cooled screw compressor (1) is provided with: a compressor body (11) for compressing gas; a liquid supply flow passage (14) in communication with a liquid supply hole (37) for supplying cooling liquid into a gas compression space (33) formed in the compressor body; and a gas damping section (20) having a gas storage section (28) for storing gas subjected to the pressure of cooling liquid flowing through the liquid supply flow passage.