Disclosed are monoclonal antibodies that specifically bind to the B7 family member B7H6, including antibodies capable of inhibiting the interaction of B7H6 with NKp30. Also disclosed are anti-B7H6 antibody-drug conjugates comprising an anti-B7H6 monoclonal antibody conjugated to a therapeutic agent. The anti-B7H6 antibodies and antibody-drug conjugates are useful in methods for exerting therapeutic effects against B7H6-expressing cells, as well as in diagnostic methods for the detection of B7H6 or B7H6-expressing cells.