Abstract: A new edge-cutting subdivision algorithm for hexagonal meshes is proposed. The algorithm makes the number of the meshes increase by the factor of 4 through two approaches which are facet-shrinking and edge-cutting,and also keeps the subdivision surface C1 continuous by selecting suitable geometric location. The algorithm only adapts to semiregular meshes whose valence of each vertice is 3,so the arbitrary initial control mesh needs to be semiregularized by preprocessing.