Disclosed herein is a secondary battery having an electrode assembly received in a receiving part of a battery case, the electrode assembly being constructed in a structure in which pluralities of cathodes and anodes are stacked one on another while separators are disposed between the respective cathodes and anodes, and electrode taps extending from the stacked cathodes and anodes are coupled to electrode leads, wherein the receiving part of the battery case is provided at the outer upper end thereof with a depressed step such that at least a portion of the inner upper end of the receiving part of the battery case excluding the electrode taps-electrode lead coupling parts of the electrode assembly is in tight contact with the upper end of the electrode assembly.