Abstract: A tandem piston arrangement for a compressor, especially for a dry-running compressor for the high pressure compression of gases such as oxygen, has one piston of the common rod form as a guide piston with piston and guide rings in engagement with the respective cylinder, and at least one other piston as a contactless piston. By thus moving the guide point of the rod with the contactless piston, the length of any vibratile portion of the rod carrying the contactless piston remains constant during reciprocation of the assembly and the vibratile natural frequency thus does not change during operation.