Space-born differential optical absorption spectrometer is an imaging spectrometer with wide field of view and high resolution. Spectral curve and stripe noise interferes the image quality, influences the inversion accuracy, and thus needs to be corrected on orbit. A study on full field-of-view spectral image correction method is completed on ground. The full field-of-view spectral image is obtained by using image combination, and then the spectral image is analyzed in detail. Based on the spectrometer characteristics, a spectral curve and stripe noise correction method is proposed. The correction results show that the spectral curve, cross stripe and inclined stripe are well corrected, demonstrating the feasibility of the proposed correction method and providing the basis for onorbit spectral image correction.