The present invention provides bispecific antibody constructs of a specific Fc modality characterized by comprising a first domain binding to PSMA, a second domain binding to an extracellular epitope of the human and the Macaca CD3ε chain and a third domain, which is the specific Fc modality. Moreover, the invention provides a polynucleotide, encoding the antibody construct, a vector comprising this polynucleotide, host cells, expressing the construct and a pharmaceutical composition comprising the same.本發明提供具有特異性Fc模態(modality)之雙特異性抗體構築體,其特徵為包含結合至PSMA之第一域、結合至人類及獼猴(Macaca)CD3ε鏈之細胞外抗原決定基之第二域、以及為該特異性Fc模態之第三域。另外,本發明提供編碼該抗體構築體之聚核苷酸、包含該聚核苷酸之載體、表現該構築體之宿主細胞及包含其之醫藥組合物。