This paper describes a novel SOM-Wavelet Networks method for face recognition. We employed a SOM algorithm, which is based on the structure of a biological model, to extract shape feature of face. After the unsupervised learning, each face image will produce a shape-based vector named representative face. A Wavelet Network is applied to face identification to collect global information from a face image. Then we proposed a new approach to compute the similarity between two faces on both the global means and topological means . The experimental results are compared with other effective face identification methods and our proposed method showed a good performance.