The present invention relates to a conjugate of a physiologically active polypeptide and immunoglobulin Fc with attenuated immune response, a method for preparing the conjugate, a composition for reducing an immune response including the conjugate, and a method for reducing the immune response of the physiologically active polypeptide. Further, the present invention relates to a method for maintaining the reduction in the intrinsic binding affinity of the conjugate for an Fc gamma receptor and/or a complement, and a composition including the conjugate.