Patients with CGD between the ages of age 1 and 55 years old who have an active non-viral infection may be eligible for this study. They will have a medical history, physical examination and blood tests (including testing for adequacy of the genetic match with the donor). A bone marrow sample will be taken to evaluate disease status. This test, done under a local anesthetic, uses a special needle to draw out bone marrow from the hipbone. A central venous catheter (flexible plastic tube placed in a vein) will be put in place before treatment begins. It will be used to draw and transfuse blood, give medications, and infuse the donated stem cells.