Military precision measuring instruments are crucial in military fields such as weapons research and development and testing. This paper calculates the fuzzy similarity between measurement samples and fixed samples of military precision measuring instruments and measures their fuzzy similarity priority ratio based on the Hamming distance. The intercepts of similar samples are processed in order of magnitude, and the sample factor sequence values are comprehensively added to calculate the similarity between samples. The phase difference of similar samples is measured using the Fourier transform (DFT) to reduce measurement errors. The study shows that the method proposed in this paper quickly achieves a signal effective value of 6.966 when the number of frequency sampling points is 125, and the calculated uncertainty square value is less than 0.2000. In real-time error estimation, the error values of the six measuring instruments based on this method all do not exceed 1.500 mm, enabling real-time DC voltage adjustment and improving the measurement accuracy of the instruments.