Based on the operation principle of acousto-optic tunable filter (AOTF), a hyper-spectral imaging system with 500~1 000 nm operation wavelength and 10°×10° field of view is designed. The system is consisted of three groups of optic lenses. The fore-optical system is a focal system including objective and collimating lens, the back-imaging lens collects the +1 order diffraction beams produced by the AOTF. The whole system is optimized by ZEMAX, and imaging resolution is better than 40 lp/mm when MTF is 0.5, other aberration requirements are met as well.