A kind of photonic crystal fiber with symmetrical elliptical air holes is proposed, the properties including electric field distribution, birefringence, dispersion, non-linearity and confinement loss of fundamental mode of this fiber are investigated using full vector finite element method. The results shows that the most of fundamental mode energy is limited to the fiber core. The birefringence can reach 3.327×10-2, and the dispersion value is almost zero, at the same time, the nonlinear coefficient is as high as 46.36W-1·km-1, as well as, the magnitude of confinement loss can be reduced to a value of 4.907×10-4 dB/km and 6.819×10-7 dB/km in x-polarization and y-polarization of fundamental mode respectively, when λ=1550 nm, Λ=3.0 μm. There are two zero-point dispersion wavelengths in the visible band and near infrared band of this fiber, and the position of zero-dispersion point wavelengths are move to the long-wave direction with the hole pitch Λ increases, in a range of wavelengths from 0.60 ～1.80μm. Based on the highly birefringence, highly nonlinear, two zero-dispersion and low confinement loss, the photonic crystal fiber could be widely used in optical fiber sensing, optical fiber communication, dispersion control and nonlinear optics.