A fore hyperspectral imaging zoom system is designed. The working spectrum is from 400 nm to 1 000 nm, the F number is from 3.5 to 5.6, and the full field of view at 28 mm focal length and 80 mm focal length is 7.88°and 2.76°respectively. There are two differences between the fore system and the traditional zoom system. First of all, because AOTF is applied for beam splitter in this hyperspectral system, the MTF after beam splitting will be highly focused on. Consequently, the MTF should be evaluated discretly. And, the fore system and the back imaging module will be applied together to reach the total zoom purpose. The two systems will both have certain constructions on the MTF of the total system.So the evaluation of fore hyperspectral imaging zoom system should consider the reseanable requirements of back imaging module and the total MTF,which will be constrained by the detector and thershold of visibility. After considering the above factors, the iamge quality evaluation indicators of the fore hyperspectral zoom system are analyzed in detail. The initial structure of system is calculated from principle of exchange object and image. And it is optimized with software of ZEMAX. The design result shows that the image quality of system can meet the design indicator requirements under every focal length position and every hyperspectrum.