A blind deblurring method of remote sensing images based on local maximum and minimum intensity priors is proposed to solve the motion blur problem. The sparsity of local pixel intensity of remote sensing image is used as a prior condition in this method, and a simple iterative threshold shrinkage method is applied to solve the latent image and blur kernel, then we obtain the deblurred image using by non-blind deconvolution algorithm. The experimental results show that the proposed method can improve the computational efficiency. For both optical and near-infrared remote sensing images, it can availably restore the texture details of the images, suppress artifacts, and improve the subjective effect and objective evaluation index for the restored images.