Case for Secondary Battery and Secondary Battery

A case for a secondary battery, in which an electrode assembly having a structure, in which electrodes and separators are alternately disposed, is accommodated, includes: a first recess part and a second recess part, each of which has a recessed shape; a circumferential part configured to surround a circumference of each of the first recess part and the second recess part when the case is unfolded; and a connection part provided between the first recess part and the second recess part to connect the first recess part to the second recess part, wherein, when the case is unfolded, the connection part has a shape that is recessed from each of the first recess part and the second recess part in one direction.