Abstract: In this paper a novel image inpainting techniques for the digital color oil-paintings is proposed based on Kriging method.In the proposed method, color of the 2D image is treated as a height field over a regularly sampled grid, and the 2D image inpainting problem is naturally converted to a 3D implicit surface reconstruction problem.Experimental results show that the proposed method in this paper is better than several traditional methods in image inpainting, and the proposed method can fix variety of images effectively and robustly, and keep good inpainting quality.