A battery device has at least one battery module including a battery module housing, in which battery module housing battery cells are provided. The battery cells each have a cell envelope with a cell vent. The battery module housing has a battery-module housing wall with battery-module housing vents. The battery-module housing vents are respectively assigned a first closure arrangement, which first closure arrangement closes the assigned battery-module housing vent in a first state (Z1) and opens it in a second state (Z2), in order to allow at least partial venting of gas from the battery module housing through the assigned battery-module housing vent in the second state (Z2) of the first closure arrangement. At least two of the cell vents respectively lie opposite an assigned battery-module housing vent, at least in certain regions.