Dirac point in photonic band structures is a research focus in the present photonic crystal field. The hexagonal rods arranged in a hexagonal lattice anisotropic photonic crystals using bi-axial materials are presented. In the photonic crystals, there are three different primary dielectric constants, εxx,εyy and εzz. Based on the Maxwell’s equations, the Dirac point in transverse electric (TE) wave is affected by εxx≠εyy. The Dirac velocity in the TE wave can be obtained by modulating the principal refractive index Nx and Ny in the X and Y directions of bi-axial materials, and thus the position of the Dirac point in the energy band structure can be changed by adgusting TE wave. That is to say, the normalized frequency of the Dirac point and its position in the Brillouin zone can be changed. The relationship between Nx, Ny (corresponding to εxx, εyy) and existence of the Dirac point in TE wave is studied, and the proposed opinion is demonstrated by simulation experiments. The characteristics will provide more possibility for the design of novel photonic components and photonic chip architectures.