We report the case of solitary fibrous tumor of the pleura, which appeared to change its location. A computed tomography (CT) scan done at a previous hospital showed a tumor in the posterior mediastinum, suggesting that it was neurogenic. However, on the initial preoperative CT scan, the tumor seemed to have moved anteriorly, but when contrast material was injected; the tumor appeared in its original position. Video-assisted thoracoscopic surgery (VATS) revealed a pedunculated and free-moving tumor, originating from the visceral pleura. We diagnosed this unusual migrating tumor as a pedunculated solitary fibrous tumor of the pleura.