In order to achieve the requirements of miniaturization, light weight, high image quality of the hyperspectral imaging system, and improve the optical efficiency for the whole spectral range, the Dyson hyperspectral imaging system with achromatized Féry prism is presented. To decrease the nonlinear dispersion of spectrum, the achromatized prisms are introduced into the system. The optical modulation transfer function (MTF) for visible-near infrared (VNIR) spectral channel is higher than 0.9, and the spectral resolution is about 4.2～6.8 nm. The MTF for short-wave infrared (SWIR) spectral channel is 0.73～0.87, and the spectral resolution is about 6.4～12.5 nm. The achromatized Féry prisms correct the spectral-line bending and color distortion of the two hyperspectral imaging systems. Optical simulation shows that the distortion is less than 0.13% and the spectral bend is less than 0.05%.