An asymmetric heterodimeric antibody includes a knob structure formed in a CH3 domain of a first heavy chain; a hole structure formed in a CH3 domain of a second heavy chain, wherein the hole structure is configured to accommodate the knob structure so that a heterodimeric antibody is formed; and a T-cell targeting domain fused to the CH3 domain of the first heavy chain or the second heavy chain, wherein the T-cell targeting domain binds specifically to an antigen on the T-cell. The T-cell targeting domain is a ScFv or Fab derived from an anti-CD3 antibody. The asymmetric heterodimeric antibody may have L234A and L235A mutations or L235A and G237A such that its effector binding is compromised.本發明提供一種不對稱異二聚抗體,其包括:杵結構,其形成於第一重鏈之CH3域中;臼結構,其形成於第二重鏈的CH3域中,其中該臼結構經結構設計成容納該杵之結構,以利形成異二聚抗體;以及T細胞靶向域,其融合至該第一重鏈或該第二重鏈之該CH3域,其中該T細胞靶向域特異性地結合至該T細胞上之抗原。該T細胞靶向域為源於抗CD3抗體之ScFv或Fab。該不對稱異二聚抗體可具有L234A及L235A突變或L235A及G237A突變,使得其效應子結合受到減損。