For the performance degradation of total reflection prism laser gyros in the front and rear of reset jump, the properties of frequency stabilization of total reflection prism laser gyros are studied systematically. Based on the theory of power tuning characteristic in the small jitter modulation and the serving element of frequency stabilization, a mathematic model of the frequency stabilization system in the total reflection prism laser gyros is proposed. The frequency stabilization accuracy is derived as a function of the heater voltage and rate of temperature, and the theoretical calculation formula of best reset jump threshold is given. The results show that the increase of temperature rate and the reduction of heater voltage can lead to degradation of frequency stabilization accuracy, and the best reset jump threshold increases with the environment temperature increasing, in the fixed and varied temperature environments, the fixed reset jump threshold can result in decreasing accuracy of frequency stabilization after reset jump. Using variable gain II type frequency stabilization system and setting best reset jump threshold, the performance degradation of the front and rear of reset jump can be eliminated effectively, and the gyros accuracy can be improved by over 40% . The analytic study provides an important reference for improving the performance of total reflection prism laser gyros.