The authors present four cases. The first case is a diaphragmatic-mediastinal, the second one is a cervical-mediastinal one, the third case has a buttock, the last one is a case of hip-thigh. Their ages are one, eight and three years old and the fourth case is seven days old. They appear in axilla, neck, thoracic wall and fat prevertebral tissue, in below three year old children. Despite their benignity, the tumors grow very fast. The complete extirpation is fundamental to avoid relapses, which are presented approximately in a 15 for 100 of the cases. Mutilations are not necessary, since it is a benign tumor. Finally, the authors amply review the literature. They differentiate the concepts of lipoma, hibernoma and lipoblastoma.