This is an open labeled, multi-center, phase I/II, cohort study involving a single infusion of autologous CD34+ cells transduced with the self-inactivating (SIN) lentiviral vector G2SCID in up to 10 patients with X-linked SCID (SCID-X1) at Boston Children's Hospital and UCLA Mattel Children's Hospital. Patients will receive transduced cells after low dose targeted busulfan pre-conditioning (n=10).