Two types of high birefringence photonic crystal fiber (PCF) which import four or six big circular air holes near the elliptical-hole are proposed. Their birefringent and dispersive properties are analyzed by full-vector finite-element method (FEM). Numerical analysis demonstrates that importing the big circular hole near the center of elliptical-hole PCFs can achieve a high birefringence. When the ratio ( $d/\mathrm{\Lambda }$ ) of diameter to hole spacing is larger than 0.8, the proposed two types of PCF have a larger birefringence than that of sole elliptical air hole ones. When the ratio $d/\mathrm{\Lambda }$ is equal to 0.95, the birefringences of these two types PCF can be as high as $4.27\times {10}^{-3}$ and $5.09\times {10}^{-3}$ at the wavelength of $1.55\mathrm{\mu m}$ , respectively. Besides, PCF with the four big circular air holes has a large negative dispersion at the long wavelength in x-polarized mode, which indicates a potential in single-polarized mode dispersion compensation.