A method of transplanting a transplant derived from a donor into a recipient is disclosed. The method comprises the steps of (a) transplanting the transplant into the recipient; and (b) administering to the recipient a dose including non-alloreactive anti-third party cytotoxic T-lymphocytes (CTLs), wherein the non-alloreactive anti-third party CTLs are generated by directing T-lymphocytes of the donor against a third party antigen or antigens, the dose is substantially depleted of T-lymphocytes capable of developing into alloreactive CTLs, thereby preventing or ameliorating both graft rejection by the recipient and graft versus host disease.