Rechargeable battery having membrane

A rechargeable battery according to an exemplary embodiment of the present invention includes: an electrode assembly that includes a first electrode and a second electrode; a case where the electrode assembly is received; a first terminal that is electrically connected with the first electrode and a second terminal that is electrically connected with the second electrode; a cap plate that is coupled with the case, and where a short-circuit hole is formed; and a membrane that is fixed to the cap plate and electrically separates or disconnects the first electrode and the second electrode, wherein the second terminal includes a fuse connector, a first portion, and a second portion, and the first portion and the second portion are connected by the fuse connector, and the fuse connector is disposed apart from the membrane and disposed opposing the membrane.