Localized fibrous tumor of the pleura is a rare primary pleural neoplasm. The tumors are usually discovered incidentally on routine chest radiography. A change in the lesion's position with respiration and/or posture of the patient indicates a pedunculated pleural lesion. Computed tomography and magnetic resonance imaging reveal the relation of the lesions to adjacent structures. Magnetic resonance imaging is also useful for the characterization of the lesions on the basis of signal features. These tumors usually consist of mature fibrous tissue.