Based on the supercell overlapping method the full vector model was adopted to model polarization properties of elliptical-hole photonic crystal fiber (EHPCF) with central defect hole. It was found that this EHPCF with central defect hole has a larger birefringence and walkoff parameter than the solid core EHPCF does. The dependence of birefringence and walkoff parameter on frequency is different from that of the conventional polarization maintaining fiber. A zero walkoff point occurs at the low frequency region in this photonics crystal fiber (PCF). This offers the possibility that the single mode operates at high birefringence and zero-walkoff at a given wavelength. High birefringence and large walkoff parameter can be obtained by a moderate increase in the central defect hole in the core region and the cladding elliptical hole area and ellipticity.