Optical distortion is a significant factor that impacts the angular measurement accuracy of optical devices. In addressing the issue of optical distortion significantly affecting the testing precision in infrared and visible light bombing ballistic theodolites in shooting ranges, three optical distortion correction methods were employed to verify the correction effectiveness: polynomial fitting, multi-surface function fitting, and Kriging interpolation. After verification, it is found that the difference in distortion correction effect of infrared imaging equipment using polynomial fitting method of various orders is not obvious, and the corrected results can be better than 8" after modification. However, there are significant differences among the three models of visible light imaging equipment, and only the fifth-order model can reduce the error to less than 10". When using the multi-surface function fitting method, the smoothing factor has a greater impact on the distortion correction accuracy of infrared and visible light, while the impact of kernel function is not obvious, so the focus should be on the selection of smoothing factor. The optimized parameter vector has a greater impact on the Kriging prediction model, especially when the variogram is a Gaussian function. When the anisotropic characteristics of the distortion vector are not prominent, the advantages of Kriging interpolation are not significant.