We report four new cases of meningeal Solitary Fibrous Tumour (SFT). Two patients presented with raised intracranial pressure from posterior fossa SFT, and the third developed hemiparesis and dysphasia due to a large lesion that originated in the left middle cranial fossa. These were successfully excised and the patients remain well at follow-up of between 1 and 3 years. The fourth patient, a 71-year-old man, suffered an intracerebral haemorrhage and later died from a malignant SFT that had invaded the falx cerebri, superior sagittal sinus, and brain. This is the first description of a locally aggressive meningeal SFT with multiple atypical histological features. The 31 previously reported cases of meningeal SFT are reviewed. They occur at all ages and may be relatively more common in the posterior fossa and spine. Intracranial SFT originate from the dura and are probably indistinguishable from meningiomas on imaging and at surgery. In contrast, approximately two-thirds of spinal SFT have no dural attachment. Histologically, SFT are spindle-cell neoplasms with a characteristic immunohistochemical profile of CD34, vimentin, and bcl-2 positivity. Data on outcome for patients with meningeal SFT are limited. At other sites, however, extent of resection is the most important prognostic factor, and invasion or metastasis can occur with histologically benign SFT. Meningeal SFT should, therefore, be excised as completely as possible and followed carefully in the long-term.