Modified antibodies, or antigen-binding fragments thereof, to the extracellular domain of human prostate specific membrane antigen (PSMA) are provided. The modified anti-PSMA antibodies, or antigen-binding fragments thereof, have been rendered less immunogenic compared to their unmodified counterparts to a given species, e.g., a human. Pharmaceutical compositions including the aforesaid antibodies, nucleic acids, recombinant expression vectors and host cells for making such antibodies and fragments are also disclosed. Methods of using the antibodies of the invention to detect human PSMA, or to ablate or kill a PSMA-expressing cell, e.g., a PSMA-expressing cancer or prostatic cell, either in vitro or in vivo, are also provided.