Each of molding machines has a conductive line whose electrification state changes as a result of anomalous stoppage. An anomaly monitoring system includes detection sections provided in the conductive lines so as to detect the electrification states thereof; a data processing section having input ports to which the detection sections are connected, wherein, when a detection signal indicating the electrification state of a conductive line is provided from a detection section to an input port, the data processing section outputs data regarding a mail address and a message prepared in accordance with the input port having received the detection signal and the electrification state; and a mail transmission section which receives the data output from the data processing section and sends an electronic mail containing the message to a communication terminal corresponding to the mail address.