Abstract: A connector system and method for anchoring a tubular lead or catheter member within a cranial burr hole in a patient, providing for direct in-line positioning and reliable fixation of the member with respect to the patient's skull after the distal end portion has been accurately positioned within the patient's brain. The system includes a baseplate, with or without adaptor to adapt for the burr hole size, and a two element fixation subassembly positioned within the baseplate for enabling fixing of the member to the baseplate after the member has been accurately positioned with a stereotactic instrument. The fixation subassembly suitably includes a compression seal made of a compressible material and a compression screw which, when screwed down into the baseplate, exerts an inwardly radial force on the compression seal, causing the seal to fixedly engage the lead or catheter member within the axial lumen of the baseplate.