We proposes a spectral-graph-based algorithm for face image repairing, which can improve the recognition performance on occluded faces.The face completion algorithm proposed in our project includes three main procedures: 1)sparse representation for partially occluded face classification; 2) image-based data mining 3) graph Laplace (GL) for face image completion. The novel part of the proposed framework is GL, as named from graphical models and the Laplace equation, and can achieve a high-quality repairing of damaged or occluded faces.The relationship between the GL and the traditional Poisson equation is proven.