Solitary fibrous tumors of the pleura are rare tumors originating from the mesenchymal cells of the submesothelial tissue of the pleura. In half of the cases, the neoplasm presents as an asymptomatic mass, often with quite large dimensions. It is a benign tumor in 80% of the cases and even when considered malignant has a good prognosis if totally removed. We present the case of a 78-year-old female, who was evaluated for lower respiratory infection, in whom the diagnosis of Giant Solitary Fibrous Tumor of the Pleura was made. She was submitted to surgical en bloc resection and is asymptomatic and with no evidence of recurrence in the 4th month follow-up evaluation.