A lithium rechargeable battery, which includes a separator having excellent mechanical strength such as elastic strength, swelling resistance, heat resistance, and peel strength. The lithium rechargeable battery includes a cathode, an anode, a separator for separating both electrodes from each other, and a non-aqueous electrolyte, wherein the separator includes a porous membrane formed of a ceramic material and a binder, and the binder has an elongation ratio of 200 to 300%.