Pulmonary glial heterotopia is an extremely rare entity whose pathophysiology remains unclear. We report for the first time one case of pulmonary glial heterotopia occured in a one-month baby free from any malformation. She has the particularity of being born from monozygotic monochorionic twin pregnancy where her anencephalic exencephalic sister suffered a medical termination of pregnancy. She presented neonatal respiratory distress, which recurred one month later. Chest X-ray revealed bilateral cystic pulmonary lesions mainly located in the right lung. Given the suspicion of congenital cystic adenomatoid malformation (CCAM), she underwent an upper and a lower right lung lobectomy at four months old. The pathological study found a multi-cystic lesion consisted of well-differentiated and poorly cellular glial tissue sometimes lined by bronchic epithelium. There was no pathological evidence for a CCAM. The evolution was favorable after surgery with an infant who was well five months later. This is one of the very few cases where the disease did not lead to rapid death in utero or during the perinatal period. This suggests that effective management by surgery could be a decisive factor in the survival of these patients.