Fresnel lens with large aperture is stitched by multiple segmented mirrors, and miss-adjustment error of segmented mirror will affect imaging quality of stitched Fresnel lens. Using the Rayleigh criterion as evaluation criteria, according to Fresnel lens wave-front aberration theory, each degree of freedom allowed limit for Fresnel lens miss-adjustment error tolerance is analyzed, and the theoretical formula is given. Analysis result shows the bigger the stitched Fresnel lens F-number is, the looser each freedom degree of the miss-adjustment error tolerance limit becomes. Using Zemax software to simulate, the stitched Fresnel lens wave-front is tested by interferometer. The result shows that the maximum error between the stitched wave-front and the theoretical calculation is 0.006λ, which verifies the correctness of the theory. The results provide a theoretical basis and guidance for design, test and alignment of the stitched Fresnel lens.