The method includes determining the temperature in the cutting zone. To improve the accuracy of processing during cooling, a thermocouple made in the form of a plate is used, which is placed in the tool holder and connected to a direct current generator. In this case, a thermocouple is used as a device for determining the temperature. The diameter of the part is determined using an optical sensor, if the measured temperature and diameter of the part do not coincide with the required, the cooling of the cutter is controlled by increasing or decreasing the output voltage of the generator with determining its value using seven fuzzy control rules according to the above formula. The device includes a computer and a temperature sensor built into the cutter. To achieve the same technical result, it is equipped with a DC generator, including an operational amplifier, potentiometer and resistor, a fuzzy controller to recalculate the voltage value depending on fuzzy control rules. The temperature sensor is made in the form of a thermocouple. In this case, the computer is connected to the potentiometer, the input of the plate is connected to the output of the operational amplifier using current leads, the output of the plate is connected to the resistor and the second input of the operational amplifier, the first input of the operational amplifier is connected to the potentiometer, the first input of the fuzzy controller is connected to the optical sensor, the second input of the fuzzy controller is connected to the thermocouple, the output of the fuzzy controller is connected to the potentiometer.