Delayed Blood Stem Transplantation in HLA Matched Kidney Transplant Recipients to Eliminate Immunosuppressive Drugs.

Inclusion Criteria: 1. All consenting adults of age 18 years and older with previous HLA matched sibling living donor renal transplants who still have their HLA- matched kidney donor available, and who have no history of acute or chronic rejection. 2. Patients who agree to participate in the study and sign an Informed Consent 3. The HLA-matched donor meets the Stanford Bone Marrow Transplant criteria for stem cell donation, agrees to participate and has signed an Informed Consent. 4. The pair is confirmed to be HLA-matched (2 haplo type match) as determined by the histocompatibility laboratory at Stanford. 5. Patients who have no known contraindication to the administration of rabbit ATG or radiation 6. Males and females of reproductive potential who agree to practice a reliable form of contraception for at least 18 months post transplant. Exclusion Criteria: 1. Known allergy to ATG or a known allergy to rabbit proteins. 2. History of malignancy with the exception of non-melanoma skin malignancies. 3. Pregnant women or nursing mothers. 4. Serological evidence of HIV, Hepatitis B (HepBsAg+) or Hepatitis C infection. 5. Leukopenia (with a white blood cell count \< 3000/mm3) or thrombocytopenia (platelet count \< 100,000/mm3) 6. Previous history of acute or chronic rejection of the kidney transplant or recurrence of the original disease. 7. Screening kidney biopsy demonstrating acute or chronic rejection, recurrence of original disease or interstitial fibrosis/Tubular Atrophy (IF/TA) score greater than 1.