This disclosure provides methods for reducing antibody mediated rejection (AMR) in a human kidney transplant recipient, comprising administering a therapeutically effective amount of an anti-C5 antibody, or antigen-binding fragment thereof, to the recipient in a phased dosing schedule following reperfusion of a kidney allograft, wherein the recipient is sensitized to a human living donor and wherein the recipient receives about two or more weeks of desensitization therapy prior to transplantation.