Ten new ternary fluorooxoborate structures (B2O2F2, Ⅰ-Ⅹ) were obtained from firstprinciples prediction. Coplanar aligned triangle structure units [BO2F] 2and [BOF2]like [BO3] 3in borates were found from the computational simulation. We identified new covalent coordination patterns of the F atom connected with the B atoms which are located in the bridging site, -B--F--B-. Besides, one molecular crystal with [B4O4F4] molecular unit was attached. As a branch of inorganic crystal materials, 1-2 fluorooxoborates exhibit a diverse structural chemistry leading to fascinating properties and are used widely in many fields, such as ionic conductor for solid state batteries, 3 birefringent crystals for fiber optics isolators, 4-8 and nonlinear optical (NLO) frequency conversion material. 9-12 In particular, NH 4 B 4 O 6 F, 10 CsB 4 O 6 F, 11 etc. are promising NLO materials for next generation deep-ultraviolet (DUV) all-solid-state laser devices. 12 The general structure types of fluorooxoborates are as follow: A-site cations with oxyfluoride chromophores [BO x F 4−x ] (x = 1, 2, 3), sometimes with [BO X ] (x=3, 4) existed in the structure, A-site cations can be alkali metals, alkaline-earth metals, posttransition metals, such as NaBOF