A construction method of non-separable wavelets with dilation matrix of [1,1;1,-1] is proposed and applied to the fusion of multi-spectral images and panchromatic images with high resolution. A construction method of two-channel symmetric non-separable wavelets filter bank is also proposed, and non-separable wavelets 6×6 filter banks with compact support, symmetry, orthogonality are designed. The images are discomposed and reconstructed through additive wavelet mode with low-pass filters of the above filter bank. ETM+ images and other multi-spectral images and panchromatic images with high resolution are fused and studied through NAWS, AWRGB and NAWL wavelet modes. The experimental results show that this method has well fusion performance for multi-spectral images and panchromatic images with high resolution. Compared with other fusion methods, the proposed method preserves the spectral information of multi-spectral images and the high resolution of panchromatic images. It overcomes the shortage of traditional vector product wavelet fusion method, i.e. being incapable of get images with high resolution, and saves computation time.