Abstract: In order to study the rotational hyperboloid and it's lens to the quality of image-forming the point on the principal axis utilizing the standard equation of the rotational hyperboloid and the refraction law, this article deduces the precise formulation of spherical aberration of the refracted image on hyperboloid .And then calculate the spherical aberration of hyperboloid spherical surface and their lens .Comparing the character of spherical aberration of hyperboloid and spherical surface , we find that hy...