The present invention relates to a battery cell bending apparatus and, more particularly, to a bending apparatus for bending the outer peripheral surface of a battery cell that has a battery casing in which an electrode assembly including an anode, a separation film, and a cathode is mounted and has a structure sealed by thermal fusion. The present invention provides a battery cell bending apparatus comprising: a base plate on which the battery cell is mounted; a pair of bending guides inserted between the left and right outer peripheral surfaces of the battery casing and the outer surface of an electrode assembly receiving part, while the battery cell is mounted on the base plate; pressing rollers for bending and pressing the outer peripheral surfaces of the battery casing towards the outer surface of the electrode assembly receiving part so as to correspond to the bending guides; and a heating member that is placed close to the pressing rollers and heats the outer peripheral surfaces of the bent battery casing.