Combining the compensation corrections based on target dynamic tracking with the spectra extraction based on non-uniform fast Fourier transform, a method was proposed to realize the high precision correction of airborne remote sensing. Through the way of real-time attitude measuring, active correction, feedback compensation from position and orientation system under poor imaging condition of non-stable platform, the interferogram was obtained. The fused image and the spectral curves were obtained from the corrected interferogram by the spatial transformation and data extraction of non-uniformity. The results of airborne flight experiment show that the multi-spectral fusion image has a good quality, and the precision of spectrum recovery has been improved greatly compared with the traditional methods. The attitude measuing system based on the proposed method has a good environmental adaptability of airborne, which can be used not only for the poor stability platform but also for the other spectral imaging detection system besides the principle of interference spectroscopy imaging. The proposed method provides a way for the movement error correction of airborne integration hyperspectral image processing platform.