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.