Hyper-spectral imaging involves many research areas, such as optics, spectroscopy, mechanical, microelectronics, and computers, etc. Hyper-spectral imaging system has an irreplaceable role in the detection field. At present, due to the improvement of camouflage technology, characteristic of target in battlefield becomes more complex and the targets became more and more difficult to be detected, According to this phenomenon the author designed a novel hyper-spectral riflescope optical system. In general, the riflescope optical system is composed of two parts front object lens and zoom relay system. Firstly, dispersion characteristics of the typical optical glasses varies during band 400nm~1 000nm, the author derived apochromatic theory that suitable to the front system and relay system without using special glass, and make a example to testify its correctness. In general, the zoom mode of relay system lens is different from the objective lens system, so we should take consideration of them separately. Secondly, based on the above theory, the articles designed a hyper-spectral riflescope system, which has a continuous zoom curve, zoom ratio is 4 times and the F number of the system is 4.8;Full field of view varies during 1.8° ~ 7.2°.Structure of the system is relatively compact, and has not used special glass, eventually the article give the schematic of system MTF and zoom curves of relay movable parts. the curve is smooth and can be applied to practical engineering. The author adopt ZEMAX design software to analyses the results .Design result shows that, in the visible and near-infrared wavelengths, the MTF of imaging system at 60lp / mm during all bands are greater than 0.3, which prove the correctness of the design theory and good performance of system.