System for monitoring of an object, comprising a communication unit configured to be positioned close to the object and containing an electrical energy supply, a reader, a radio station with a radio transmitter adapted to communicate with a terminal over a communication network, and an alarm circuit; and an ID unit embedded in or attached to the object, which ID unit has a unique ID and contains a receiver and a transmitter adapted to transmit the unique ID of the chip as a response to an incoming signal from the reader; where the system is characterized by the alarm circuit being configured to trigger an alarm if the reader does not receive a response from the ID unit; and the communication unit being equipped with means for position finding for determining the geographical position of the radio station wherein the means for position finding comprise at least one of using the radio transmitter of the communication unit for triangulation and a position finding unit that determines its position based on satellite signals; and wherein said communication unit has an operating mode with relatively low energy consumption wherein a power-saving function de-activates the radio station most of the time and revives the radio station once in a while for connecting to the communication network, and a tracing mode where the position is determined using the means for position finding; wherein the communication unit comprises means for switching from operating mode to tracing mode in response to an instruction received from the terminal over the communication network and to enable tracing by activating the means for position finding, including at least one of deactivating the power-saving function such that the radio station transmits more often and setting the communication unit in triangulation mode, and activating said position finding unit that is part of the means for position finding and that determines its position based on satellite signals. a communication unit configured to be positioned close to the object and containing an electrical energy supply, a reader, a radio station with a radio transmitter adapted to communicate with a terminal over a communication network, and an alarm circuit; and an ID unit embedded in or attached to the object, which ID unit has a unique ID and contains a receiver and a transmitter adapted to transmit the unique ID of the chip as a response to an incoming signal from the reader; where the system is characterized by the alarm circuit being configured to trigger an alarm if the reader does not receive a response from the ID unit; and the communication unit being equipped with means for position finding for determining the geographical position of the radio station wherein the means for position finding comprise at least one of using the radio transmitter of the communication unit for triangulation and a position finding unit that determines its position based on satellite signals; and wherein said communication unit has an operating mode with relatively low energy consumption wherein a power-saving function de-activates the radio station most of the time and revives the radio station once in a while for connecting to the communication network, and a tracing mode where the position is determined using the means for position finding; wherein the communication unit comprises means for switching from operating mode to tracing mode in response to an instruction received from the terminal over the communication network and to enable tracing by activating the means for position finding, including at least one of deactivating the power-saving function such that the radio station transmits more often and setting the communication unit in triangulation mode, and activating said position finding unit that is part of the means for position finding and that determines its position based on satellite signals.