Kaarna et al. [pro. Scand. Cof. Image Analysis, SCIA 2003, pages 320-327] proposed a watermarking method based on the three dimensional wavelet transform for spectral images. kaarna et al [J. Imaging SCI. Technol. 52, pages 30502-1 -30502-18, 2008] reported that the robustness of the watermarking method to different illumination conditions. The spectral image database provider stores the reflectance or radiance spectra of the images. Depending on the client's requirements, the effects from illumination can be added to the spectra, i.e., the viewing conditions change the perceived color of the spectrum. External illumination can be compensated through convoluting the spectra of the image with the spectrum of the illuminant. In this paper, a hybrid watermarking method based on the three-dimensional wavelet transform and singular value decomposition is proposed. The proposed method is compared with the 3D-DWT method of kaarna et al in the cases both with and without effect of different illumination conditions. Experiments were performed on a spectral image of natural scenes. Inlab2 was selected. The color reproduction is done using CIE XYZ basis function with D65 light model. Inlab2 image have the following dimensions: 256x256 pixels, and 31 spectral components per each pixel. Images were captured by a CCD (charge coupled device) camera in a 400-700 nm wavelength range at 10 nm intervals. The image selected was taken indoor (in a controlled environment, i.e. dark-lab or glass-house). The performance of the proposed technique is compared with the work of kaarna et al against different illumination conditions and attacks including median and mean filtering, lossy compression. The experiments indicate, the proposed method outperforms the work of kaarna et al.