According to the characteristics of large aperture static imaging spectrometer (LASIS), a three-dimensional (3D) orientation prediction-based wavelet transform method is proposed. The novelty of this method is that it combines directional prediction into 3D-wavelet. In this way, the prediction selects pixel in the most correlative direction and is not limited on the prediction direction. The experimental results show that this 3D orientation prediction wavelet improves the performance of wavelet obviously particularly on LASIS image with quite severe direction. Followed with the same quantization and coding methods, the proposed method outperforms the original 3D lifting wavelet by 1 dB. Meanwhile, the spectrums recovered by the proposed method also possesses better performance.