We propose an auto-mesh generation algorithm for 3-Dimensional elliptic model on acoustic analysis of the vocal tract. We mesh the vocal tract and compute the vocal tract transfer function (VTTF) using Finite Element Method (FEM). We show there is little difference between the VTTF using our algorithm and that of the manual mesh, especially for vowel /a/. We show that the number of nodes is depended on the shape of the cross section of the vocal tract. Furthermore we compute the VTTF of the vocal tract with variable shape continuously.