As important materials in modulating the polarization of light, birefringent crystals have attracted considerable attention and played crucial roles in the field of optical communication and the laser industry. Limited by the transparency range, few birefringent crystals can be used in the deep-ultraviolet (DUV) region, except for alpha-BaB2O4 (alpha-BBO) However, the application of a-BBO in the DUV range is restricted by the relatively high cutoff edge and low transmittance rate below 200 nm. In this paper, we design and synthesize a new fluoroborate, Na2B6O9F2, by introducing fluorine into borate system. It possesses a short cutoff edge of 169 nm and birefringence larger than 0.080 at 589.3 nm. The Na2B6O9F2 crystals with sizes up to 3.0 mm x 1.5 mm X 0.2 mm have been grown with good quality by a high-temperature solution method in the open system. First principles calculations were carried out to understand the optical properties.