This system comprises local monitoring units installed in close proximity to the facilities to be monitored, each of which comprises a device for detecting facility malfunctions; a first computer made available to the facility maintenance company, connected to the local units through a transmission network for receiving and processing fault information transmitted from the local units; a second computer made available to a facility management company, which receives the same information as the first computer from the local units; each local unit being associated with a facility and further comprising a control device for allowing a maintenance engineer to signal the beginning and the end of an inspection of the associated facility, these events being transmitted to the computers which comprise a device for storing all information transmitted by the local units.