A monitoring device for monitoring a therapy device, for example, an anesthesia device or a respirator, is provided by which an alarm device for triggering an alarm when the value drops beyond a warning limit (4) is automatically activated when a determined therapy parameter drops beyond this warning limit (4). The warning limit (4) is set automatically in this case. In addition, a therapy device monitored by the monitoring device and especially an anesthesia device as well as a respirator are provided. A process for triggering an alarm as well as a process for treating a patient is also provided.