Antibody‐mediated rejection (AMR) is the commonest cause of failure of a pig graft after transplantation into an immunosuppressed nonhuman primate (NHP). The incidence of AMR compared to acute cellular rejection is much higher in xenotransplantation (46% vs. 7%) than in allotransplantation (3% vs. 63%) in NHPs. Although AMR in an allograft can often be reversed, to our knowledge there is no report of its successful reversal in a pig xenograft. As there is less experience in preventing or reversing AMR in models of xenotransplantation, the results of studies in patients with allografts provide more information. These include (i) depletion or neutralization of serum anti‐donor antibodies, (ii) inhibition of complement activation, (iii) therapies targeting B or plasma cells, and (iv) anti‐inflammatory therapy. Depletion or neutralization of anti‐pig antibody, for example, by plasmapheresis, is effective in depleting antibodies, but they recover within days. IgG‐degrading enzymes do not deplete IgM. Despite the expression of human complement‐regulatory proteins on the pig graft, inhibition of systemic complement activation may be necessary, particularly if AMR is to be reversed. Potential therapies include (i) inhibition of complement activation (e.g., by IVIg, C1 INH, or an anti‐C5 antibody), but some complement inhibitors are not effective in NHPs, for example, eculizumab. Possible B cell‐targeted therapies include (i) B cell depletion, (ii) plasma cell depletion, (iii) modulation of B cell activation, and (iv) enhancing the generation of regulatory B and/or T cells. Among anti‐inflammatory agents, anti‐IL6R mAb and TNF blockers are increasingly being tested in xenotransplantation models, but with no definitive evidence that they reverse AMR. Increasing attention should be directed toward testing combinations of the above therapies. We suggest that treatment with a systemic complement inhibitor is likely to be most effective, possibly combined with anti‐inflammatory agents (if these are not already being administered). Ultimately, it may require further genetic engineering of the organ‐source pig to resolve the problem entirely, for example, knockout or knockdown of SLA, and/or expression of PD‐L1, HLA E, and/or HLA‐G.