A battery, a battery module for the battery, and a bus bar therefor for connecting battery cells are disclosed, said bus bar having an electrically conductive metal sheet and at least one sheet metal connector, which is produced in the metal sheet by means of a cutting method and has a contact section that is offset out from the sheet plane for electrically connecting to a pole of the battery cell, at least one electrical fuse, and a suspension section, which is provided between the metal sheet and the contact section, with the suspension section being divided into at least two electrically parallel leg sections. In order to achieve a durable and structurally simple bus bar with a fuse, it is proposed that the fuse be composed of the two electrically parallel leg sections.