Based on the supercell overlapping method developed before by authors, the full vector is adopted to model transmission properties of elliptical-hole photonic crystal fiber (EHPCF) with a central smaller elliptical-hole core. It is concentrated on the influence of the smaller central elliptical hole on modal field, modal birefringence and dispersion. It was found that this EHPCF has a larger birefringence than the solid core EHPCF does because of the introduction of the smaller central hole. The transmission properties strongly depend on wavelength and the structure parameter of the EHPCF. The birefringence will increase due to an increase in the wavelength and the central smaller elliptical-hole core. The magnitude of birefringence can attain the level of 10-3. The broadband flat dispersion or anomalous dispersion can be obtained through changing the structure parameter of this EHPCF. The numerical results show that there is 400 nm flat dispersion region near the wavelength 1.55 μm in this EHPCF with the central small holes dc=0.4D.