In view of the phenomenon that the scale factors of the laser gyro with total reflection prism changes periodically with temperature, the influence of temperature changes on the ring laser area under the condition of frequency stabilization was studied by matrix optical method. The relationship between the scale factors of the laser gyro with total reflection prism and the frequency stabilization voltage was obtained, and it was pointed out that the beam offset was the cause of the periodic change of scale factors with temperature. According to the relationship between the scale factors and the frequency stabilization voltage, the scale factor compensation model of the laser gyro with total reflection prism was established, and the nonlinearity of the scale factors before and after compensation was compared through experiments. The results show that the nonlinearity of the scale factors is increased by more than one order of magnitude by using the proposed model to compensate the scale factors of the laser gyro with total reflection prism. The research has certain reference value for improving the performance of laser gyro with total reflection prism.