In a facsimile system adapted to receive data via a LAN (Internet facsimile system),
when the facsimile machine is unable to print or otherwise process the received
data, and has no mass storage device, the received data is rerouted to the other
terminal connected to the LAN so that the received data may be readily retrieved
at all times. Such a situation can occur as a result of a failure of the printer
unit, running out of printing paper, experiencing an unchanged state of the image
memory for more than a prescribed time period, experiencing a memory-full state
of the image memory for more than a prescribed time period, and detecting the received
data to be based on a format which the facsimile system is unable to handle. Therefore,
the received data can be made readily available for the interested party, and the
safety of the received data can be improved.