Polymer electrolyte and a lithium secondary battery having the same

A polymer electrolyte includes a gel-forming polymer electrolyte including a gel-forming compound connected at metal cations, and an organic electrolyte of a lithium salt and an aprotic solvent. The polymer electrolyte includes a gel-forming polymer electrolyte that includes at least one aziridine ring-containing compound, and an organic electrolyte of lithium salt and aprotic solvent.