RbCl and CsCl react with BrF yielding the corresponding decafluoridotribromates(iii), MBrF (M = Rb, Cs), which were structurally characterized for the first time. The BrF anion is surprisingly not linear but contains a μ-bridging fluorine atom and seems to be the first example of μ-F bridging of Br atoms. The compounds are highly reactive and cannot be handled in glassware. As for the tetrafluoridobromates themselves, they are powerful oxidizers and thus suitable for the dry-chemical recycling of precious metals and additionally feature a significantly higher BrF content.