A bispecific anti-Globo H antibody includes an anti-Globo H antibody that binds specifically to Globo H; and a T-cell targeting domain fused to a CH3 domain of a heavy chain of the anti-Globo H antibody, wherein the T-cell targeting domain binds specifically to an antigen on T-cells; and wherein the anti-Globo H antibody comprises mutations at an effector binding site such that the bispecific anti-Globo H antibody has a diminished effector function. The T-cell targeting domain is a ScFv or Fab from an anti-CD3 antibody.