A system for applying a stereotaxic headring, as used in neurosurgery, in which a brace performs the functions of immobilizing a patient's head with respect to the shoulders and upper torso and also of rigidity supporting the headring in a selected position of adjustment. The brace therefore fixes both the head and headring against relative movement, allowing the headring to be anchored directly to the patient's skull in the precise position selected. Once the headring is so anchored, the brace may be removed and conventional stereotaxic neurosurgical procedures may be undertaken.