An ultra-low loss and high birefringence hollow core anti-resonant terahertz photonic crystal fiber based on cyclic olefin copolymer (COC) is proposed. The cladding of the fiber consists of two groups (six in total) nodeless embedded sleeves. The guided wave characteristics are analyzed by using the finite difference time domain method combined with the perfectly matched layer boundary conditions. The simulation results show that the total transmission loss is less than 0.1 dB/m, birefringence is more than 2.12×10^-5 within the range of 0.8-1.35 THz, dispersion in ±0.027 ps/THz/cm. At 1.12 THz, the minimum total transmission loss is only 0.543×10^-2 dB/m, birefringence value 2.06×10^-4. The bending performance of the fiber is analyzed. It is shown that in y direction, when the bending radius is more than 19 cm, the bending loss is less than 0.1 dB/m, and the bending performance is good.