Meat quality is a very important factor for both food safety and consumer acceptance, and proper storage of meat can extend the time it stays fresh. This study thus looked at the effects of the atmosphere in which rabbit meat was stored on the oxidative stability of the meat and on its volatile compounds. Not only does the formation of oxidative products adversely affect the human body, but the compounds formed during oxidative changes also typically possess unpleasant aromas, leading to deterioration in the flavor of the meat. Our study analyzed three types of storage atmosphere for rabbit meat: vacuum (VAC), a modified atmosphere (LoOxMAP) composed of 60% CO2, 25% O2, and 15% N2, and an MAP (HiOxMAP) composed of 30% CO2 and 70% O2. The results show that the MAP with 70% oxygen (HiOxMAP) is the least beneficial variant of the three. Rabbit meat packed under HiOxMAP showed the greatest oxidative changes, and volatile compounds providing an unpleasant odor were detected. The fewest changes in meat stored for 21 days occurred in samples stored in VAC.Practical Applications: For the long‐term storage of rabbit meat at refrigerated temperature, it is best to use a vacuum atmosphere to slow down the oxidative changes in the meat fat.