We fabricated and characterised a birefringent anti-resonant hollow-core fibre. The birefringence was achieved by introducing different thickness resonators. The group birefringence was found to be 4.1E-5 at 1550 nm which relates to a 2.35E-5 phase birefringence. The attenuation of the fibre was 0.46 dB/m at 1550 nm.