Theft protection of electronic apparatuses connected to a bus system is implemented in a manner particularly suitable for use in a digital home network based on the IEEE 1394 standard. At least one of the apparatuses in the network is equipped with a monitoring unit switchable between an activated and a de-activated state. In the activated state, the monitoring unit monitors the occurrence of a bus reset which is generated particularly upon removal of an apparatus from the network. After occurrence of such a reset, the monitoring unit compares the list of all apparatuses on the bus with a list generated and stored before the reset. When determining differences, an alarm is triggered which can be reproduced particularly by means of the apparatuses which are present, such as, for example, televisions and hi-fi equipment.