In the testing of convex hyperboloid surfaces, the required auxiliary mirror is too large to manufacture. A new method of testing is proposed herein to solve this problem. Based on the Hindle test, the correcting lens and the spherical mirror produce a ray that has no aberration and is incident to the test surface. The distance between auxiliary mirror and hyperboloid mirror is short. This reduces the aperture of the auxiliary mirror, while the effective aperture does not reduce. The formula is derived based on the third-order aberration theory. A test optical system is designed, wherein the aperture of the mirror being tested is 800 mm, the vertex radius is 1800 mm, and the conic constant is -2.25. The peak-valley value of the residual aberration is 0.0003λ (λ=632.8 nm), and the root mean square is 0.0001λ. The analysis shows that this method can be used to test large aperture and large relative aperture convex hyperboloid surfaces with a small auxiliary mirror and short length.