A battery module having a housing (15) including a plurality of cavities (16), each receiving a housing-element assembly (1) having: a) an electrochemical element (2) with a cylindrical container and two current output terminals (3, 4) disposed on a wall of one of the ends of the container, at least one of the two current output terminals being electrically connected to an electrical connection bar (5); b) a housing (6) in the form of a tube for receiving the electrochemical element, the housing electrically insulating the electrochemical element and having one or more indexing members (7, 8); c) a housing cover (9) provided with a means (10) for causing the electrochemical element to rotate about its longitudinal axis.