The structure of the measurement system based on the cellular networks is relatively easy and cheap in building and operation. Remote monitoring system must be appropriately adapted to the specific requirements of network, it is necessary the appropriate equipment allowing to record and transmit the data on the GSM network or the Internet. Operation of the device is presented in this article on the basis of an interesting case of damage of the traction electric motors. The motors were used for driving of vehicles, and the measurements were made during the normal vehicle operation. The examples of measurement results are also presented. Measurements and recordings were carried out remotely using the telemetric devices, whose concept was developed by the authors of this article. Structure of the autonomous, telemetric, multi-channel system and the possible applications are also presented. The authors plan to expand the capabilities of the device by the measurement of other non-electrical quantities.