This is a single center, prospective trial of islet transplantation in subjects receiving islets alone or islets after kidney transplant. This is a phase I study investigating the use of islet transplantation for the treatment of type 1 diabetes. Subjects will be eligible for an islet transplant if they meet all of the inclusion criteria and none of the exclusion criteria outlined in the protocol. In brief, the aims of this study are to establish an islet transplant program at the Ohio State University, determine the safety of islet transplantation in islet alone and kidney transplant recipients, determine whether islet transplantation will reduce the frequency of severe hypoglycemic events, determine whether a novel steroid-free immunosuppressive protocol will prevent rejection in islet transplants and to achieve insulin independence at one year after the final islet transplant.