In order to meet the requirements of small airborne remote sensing platform for imaging spectrometer with high resolution and miniaturization, an airborne light and compact high resolution imaging spectrometer system is designed using the imaging spectrometer structure form combined flat-field Schwarzschild telescope system with Offner spectral imaging system. The working wavelength is from 0.4 to 2.5 μm, the relateive aperture is 1/3, and the field of view is 7.2°. The characteristics and aberration correction principles of Schwarzschild telescope system and Offner spectral imaging system are analyzed. Then the ZEMAX software is used for ray tracing and optimization. The modulation transfer function (MTF) curve and spot diagram are given and evaluated. The design and analysis results show that the airborne light and compact high resolution imaging spectrometer optical system can meet spectral resolution of 5 nm and spatial resolution of 0.6 m. Optical system has simple and compact structure and excellent image quality that approaching to the diffraction limit. It can realize the high resolution and miniaturization of system and meet the application requirement of airborne remote sensing.