A cryosurgical device, with a control for the supply and/or removal of a coolant gas to a cryoprobe via a return flow or a supply flow. The device has at least one socket for the attachment of a rigid cryoprobe and a flexible cryoprobe. The socket and the plugs of the cryoprobes each form probe couplings. The configuration of the cryosurgical device allows both rigid and flexible cryoprobes to be automatically connected to the appropriate return flow conduit, independently of the level of knowledge of operating personnel.