A connection member for secondary batteries to achieve the electrical connection in a battery pack including two or more cylindrical secondary batteries in a physical contact manner, wherein the connection member comprises terminal connection units (Ac, Bc) for electrically connecting two or more battery cells arranged in the lateral direction in a physical contact manner, each of the terminal connection units comprising: (a) an outer circumferential contact part configured to, in use, contact an electrode terminal of a lower battery cell located below the connection member along an outer circumferential region of the electrode terminal of the lower battery cell, such that the outer circumferential contact part can be electrically connected to the electrode terminal of the lower battery cell in a surface contact manner, for minimizing the change of resistance at the contact region against an external force and restraining a possibility that the electrode terminal of the lower battery cell is depressed; the outer circumferential contact part being configured to correspond to an external shape of the electrode terminal of the corresponding battery cell, the outer circumferential contact part being configured to, in use, contact the electrode terminal of the corresponding battery cell at a region adjacent to the outer circumference of the electrode terminal, the outer circumferential contact part having a predetermined width; and (b) a central contact part configured to, in use, contact a central region of a sidewall of the battery pack for providing an elastic contact force to the entire connection member mounted between the electrode terminals of the battery cells and the sidewall of the battery pack; and characterized by further comprising (c) upward protruding parts tapered upward from the outer circumferential contact part toward a central axis of each terminal connection unit for elastically supporting the corresponding battery cell in use; (d) a pressing part protruding from the upward protruding parts to a predetermined height toward the central axis of each terminal connection unit for achieving the physical contact between the battery cells and the connection member in use; and (e) a depressed part formed on the central axis of each terminal connection unit in a depressed shape by a depth less than the sum of the height of the upward protruding parts and the height of the pressing part, wherein the terminal connection units being configured to be electrically connected to each other in correspondence to the number of the battery cells arranged in the lateral direction, wherein the upward protruding part is provided with two or more cut-off parts, having a predetermined width, formed toward the central axis of each terminal connection unit for controlling an elastic force, wherein the cut-off parts are arranged in the shape of a whirlpool to effectively provide a flexible elastic force. (a) an outer circumferential contact part configured to, in use, contact an electrode terminal of a lower battery cell located below the connection member along an outer circumferential region of the electrode terminal of the lower battery cell, such that the outer circumferential contact part can be electrically connected to the electrode terminal of the lower battery cell in a surface contact manner, for minimizing the change of resistance at the contact region against an external force and restraining a possibility that the electrode terminal of the lower battery cell is depressed; the outer circumferential contact part being configured to correspond to an external shape of the electrode terminal of the corresponding battery cell, the outer circumferential contact part being configured to, in use, contact the electrode terminal of the corresponding battery cell at a region adjacent to the outer circumference of the electrode terminal, the outer circumferential contact part having a predetermined width; and (b) a central contact part configured to, in use, contact a central region of a sidewall of the battery pack for providing an elastic contact force to the entire connection member mounted between the electrode terminals of the battery cells and the sidewall of the battery pack; and characterized by further comprising (c) upward protruding parts tapered upward from the outer circumferential contact part toward a central axis of each terminal connection unit for elastically supporting the corresponding battery cell in use; (d) a pressing part protruding from the upward protruding parts to a predetermined height toward the central axis of each terminal connection unit for achieving the physical contact between the battery cells and the connection member in use; and (e) a depressed part formed on the central axis of each terminal connection unit in a depressed shape by a depth less than the sum of the height of the upward protruding parts and the height of the pressing part,