With the limit of optical materials, it is difficult to design zoom optical systems which have long focal length by refractive systems with a simple configuration. All-reflective zoom optical systems could be lightweighted, compact and free of chromatic aberrations, and reflective optical systems can be unobscured by off-axis mirrors and have very good application foreground. In this paper, an all-reflective zoom optical system was designed, the all-reflective zoom optical system worked in the band of 400～1000nm, the diameter of the pupil was 100mm, the F number was 6～15, focal length varied from 600～1500mm, field of view (FOV) was 2o×0.8°～0.8°×0.48°. Tne Pixel size of detector was 10×10μm. The result showed that MTF was higher than 0.3 at 501p/mm and the quality of the optical system approached the diffraction limit, which met the design demand.
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