It is an object of the present invention to provide a method for efficiently producing (1S,4S,5S)-4-bromo-6-oxabicyclo[3.2.1]octan-7-one (1), which is important as an intermediate compound for the production of an FXa-inhibiting compound. A method for producing (1S,4S,5S)-4-bromo-6-oxabicyclo[3.2.1]octan-7-one (1), which comprises treating an (R)-α-phenylethylamine salt of (S)-3-cyclohexene-1-carboxylic acid with 1,3-dibromo-5,5-dimethylhydantoin or N-bromosuccinimide in a solvent.