A method is proposed for self-monitoring of microcomputer-controlled network devices (10) in motor vehicles which in accordance with applied transducer signals execute specified functions and upon detecting an error store a corresponding data word in memory. For indicating the error, the data word is converted into a signal train or voltage and detected by means of voltage measurement. This is preferably accomplished by inserting a diagnosis insert-plug (42) between the transducer lines and the network device (10). A voltmeter (47) can be connected to this test adapter and indicates this signal train or voltage. A specific type of error is associated with a specific voltage. As a result, a diagnosis which is as detailed as desired, of a complicated system, can be performed with a simple voltmeter (47) available in commerce.