The therapeutic product to be evaluated is autologous CD34+ hematopoietic stem cells (HSC) modified by ex vivo transduction using the pCCLchimGP91WPRE lentiviral vector (G1XCGD Modified Autologous BM CD34 cells) containing the human CGD gene. The G1XCGD lentiviral vector is a 3rd generation self-inactivating lentiviral vector which directs gp91phox expression from a codon-optimized form of the CYBB gene preferentially to myeloid cells, with a modified WPRE (PRE4).