A fiber optic cable forms a temperature sensor arranged along an object or space to monitor the temperature thereof and detect overheating or fire conditions. An end of the sensor is con5 nected through an interface to a laser emitter and an optical receiver, which are further connected to a computer. The computer controls the laser emitter to emit a laser pulse into the sensor. The optical receiver receives the resulting reflection signal from the sensor, and provides a corresponding signal to the computer to be evaluated in connection with a nominal comparison signal. If any location of the sensor is subjected to an unacceptable temperature increase, the sensor's refractive characteristics are changed, to cause an additional reflection pulse in the reflection signal. By evaluating the amplitude and the return time of the additional reflection pulse, the temperature level and the location of the overheating condition are determined by the computer.