Two isomeric tridecafluoridotetrabromate(III) anions, [Br4F13]–, both previously predicted by quantum‐chemical calculations, have serendipitously been obtained from the reaction of BrF3 with BaF2. Single crystals of Ba2[Br3F10]2[Br4F13]2 were selected from the reaction mixture at approximately 10 °C. The crystal structure contains two novel, isomeric [Br4F13]– anions besides the known, star‐shaped [Br3F10]– anions. It crystallized in the monoclinic space group P1n1 (No. 7) with a = 8.8519(18), b = 15.217(3), c = 14.628(3) Å, β = 90.34(3)°, V = 1970.4(7) Å3 and Z = 2, mP124 at 100 K. The compound was additionally investigated using quantum‐chemical solid‐state calculations. If however crystals from the above reaction mixture were selected at room temperature, the compound Ba[Br3F10]2·BrF3 was obtained containing disordered BrF3 molecules of crystallization besides [Br3F10]– anions. The [Br4F13]– molecules were no longer present. Ba[Br3F10]2·BrF3 crystallized in the cubic space group Pa3 (No. 205) with a = 12.4903(14) Å, V = 1948.6(7) Å3, Z = 4, cP124, T = 100 K. The much easier to handle latter compound was additionally investigated using powder X‐ray diffraction, as well as IR and Raman spectroscopy.