By introducing the elliptical hole doped with PG glass into the core of photonic crystal fiber, a graphene structure photonic crystal fiber with high refractive index was proposed. Numerical simulation based on finite element analysis was performed to calculate birefringence in the proposed structure with implementation of different parameters. The effects of air aperture ratio, hole pitch and fiber core ellipse on the fiber's birefringent characteristics were studied. Meanwhile, the optimization was performed by the mode areas and confinement loss of photonic crystal fiber. The results show that, at 1 550 nm wavelength, the high birefringence is 0.13, while mode areas are less than 0.7 μm2 and the confinement loss are less than 10－6 dB/km in two modes. The fiber efficiently can protect the polarization in light transmission, providing basis for the realization of super-continuum spectrum of high-stability.