The subject relates to a cross-neutralizing antibody comprising at least one polyspecific binding site that binds to alpha-toxin (Hla) and at least one of the bi-component toxins of Staphylococcus aureus, its medical and diagnostic use, method of producing the antibody, including an isolated nucleotide sequence, plasmids and host cells as used in the production of the antibody; and further an isolated conformational epitope recognized by a specific cross-neutralizing antibody.