A kind of novel photonic crystal fiber with easy fabrication, high birefringence and double zero-dispersion is proposed. The cladding is made of two circular air holes of different sizes in the form of quasi-rectangular and triangular lattices. The optical characteristics are analyzed by the full vector finite element method. The results show that birefringence of 2.59×10-2 is obtained at wavelength of 1.55 μm when d1 =0.80 μm, d2=1.10 μm, Λ=1.00 μm, and nonlinear coefficients in X and Y polarization directions are 46 km-1·W-1 and 36 km-1·W-1, respectively. In addition, two zero-dispersion points are located in the visible and near-infrared bands and distance between two dispersion points is 0.68 μm. Through reasonable parameter setting, positions of double zero-dispersion points, dispersion points spacing and flatness of dispersion curve are adjustable. The optical fiber with the structure is easy to fabricate in existing drawing process, which will be conducive to large-scale applications of the fiber in the supercontinuum generation, polarization system control and optical fiber sensing.