Considering the motion complexity of real satellite platform and the difficulty to obtain blur kernel, a hyperspectral image blind correction method based on band selection and PSF estimation was proposed to reduce the influence of spectral redundant information on correction precision. The method combined bicubic interpolation with image deblur algorithm via directional filters. Correction experimental results show that the proposed method can compensate and correct the image motion errors introduced by various unknown satellite motion. Image sharpness is improved, and spectral distortion is also suppressed.