An anion exchange composite membrane is filled with crosslinked polymer electrolytes for fuel cells. A method comprises, (A) preparing anion exchange electrolyte precursor solution, said anion exchange electrolyte precursor solution consisting of a electrolyte monomer of tetravalent ammonium salt having a cation, a bisacrylamide crosslinker having tertiary amine functional group, an initiator and water; (B) impregnating a porous polymer supporter into said electrolyte precursor solution; (C) forming primary anion exchange crosslink polymer electrolyte micropore filling membrane by laminating said polymer supporter and crosslinking within a film; (D) deriving quanternary ammonium of said crosslinker having tertiary amine functional group by immersing said primary anion exchange crosslink polymer electrolyte micropore filling membrane in Vinylbenzyl chloride monomer solution; and (E) preparing composite membrane filled with crosslinked polymer electrolytes by crosslinking after said ammonium deriving is complete, said crosslinking being radical polymerizing vinyl group of said electrolyte micropore filling membrane.