This paper presents an innovative method to align two glyph contours with three steps. First, 2D Bezier curve control points of glyph contours of each character are expanded into 3D space. Second, a Gaussian Mixture Model(GMM) is constructed using this 3D point set. Finally, the authors establish alignment by minimizing the Euclidean Distance(L2) between two GMMs and then apply transformation accordingly. Expansion to 3D space helps make use of inherent constraints of Chinese calligraphy beyond 2D coordinates. The advantage of using Gaussian Mixture Model is to maintain both the overall shape property and the local writing features during the alignment process. Experiments results verify the feasibility and effectiveness of proposed method and it performs well for both single stroke and whole character.