The claimed invention is directed to an improved secondary battery having a substantially uniform thickness. In one embodiment, a can type lithium on secondary battery is formed to include a structure that enables the battery to have a substantially uniform thickness even when wrapped with a label. Illustratively, the structure may include a label overlap receiving section formed on a portion of either an upper or lower cover of the battery. The label overlap receiving section ensures that a certain portion of a label overlap area is not thicker than a thickness of an area of the label. In this manner, a substantially uniform battery thickness is provided.