In order to study the effct of different spherical aberration distribution between the double lens and single mirror on the compensation results of catadioptric compensator, based on the third-order aberration theory, aiming at two concave paraboloidal surfaces with different relative apertures, a set of catadioptirc compensators with different spherical aberration assignment were designed, and the curves of the design results were drawn. The curves indicate that,when the spherical aberration bearing ratios of the single mirror increase from 0 to 0.5, the compensating ability of the catadioptric compensators rises fist, and begins to decrease after reaching the maximum.When the spherical aberration bearing ratio of the single mirror is 0, it means that the single mirror will not help to the final compensation and the single mirror becomes a plane reflector, and the catadioptric compensator becomes an Offner compensator. The results show that, the compensating ability of catadioptric compensator is strong, the different distribution of spherical aberration bearing ratios has a great impact on the compensating results, and it is good to the catadioptric compensator design to choose a reasonable spherical aberration bearing ratio for the single mirror.