A catheter system and method for intracranial infusion of therapeutic substances to a patient. An anchor formed of generally flexible, elastomeric material is used to mount the catheter to the outer surface of the skull of the patient. The anchor has a through hole for receiving the catheter, a channel, extending substantially from the through hole, into which a portion of the catheter may be inserted to retain the portion substantially parallel to the surface of the skull, and at least one flange for engaging the outer surface of the skull. An anchor clip may be provided to engage the anchor adjacent the through hole to further stabilize the catheter.