This study will enroll individuals with FA. Participants will be required to have the initial bone marrow transfer procedure performed at Cincinnati Children's Hospital, but will be allowed to see their own doctor for the majority of study visits. Participants will first attend a screening visit, which will include a physical exam, blood draw for laboratory testing, and a bone marrow biopsy. Bone marrow cells will be collected from eligible participants and sent to a laboratory for the FA gene transfer procedure. Several days later, the gene-corrected cells will be re-infused back into the participants via an intravenous catheter. Side effects will be closely monitored for 12 hours following the procedure and participants may be required to spend an overnight in the hospital. Following discharge from the hospital, participants will be required to stay in the Cincinnati area for 3 days to undergo daily evaluations and physical examinations. Participants will continue to be followed very closely for the first year after cell re-infusion. Study visits will be held weekly for the first 3 weeks, and then every 3 months for the remainder of the year. Visits will include physical examinations, blood collection, and liver function testing. Bone marrow testing will occur at Months 3, 6, and 12. Follow-up visits will occur yearly for up to 15 years and will include blood collection, a physical exam, and review of medical history.