In order to meet the development needs of airborne hyperspectral imaging system, an airborne hyperspectral imaging system with wide field of view is presented. In the system, the pre-telescope system is a transmission system with wide field and wide-spectrum, and the hyperspectral imager is an improved Féry-prism relay system based on Offner secondary. Zemax multi-configuration is used twice in the system design process, and we attempt to design the improved Féry-prism of Offner secondary as a hyperspectral imager for the first time. Besides, the Féry-prism hyperspectral imager is firstly integrated as hyperspectral imaging system for system analysis. The design is innovative both on the structure and methods. The design results show that the field of view of the system is 28°, when the height of the airborne payload is 5 km, Swath width with the total system is 2.493 km, and the ground sampled distance is 0.6 m. The full spectral modulation transfer functions of field half right and field half left are greater than 0.6. Keystones and smiles about maxium are close to 0.2 pixel, and the image quality closes to the diffraction limit.