A method of mounting a hairpiece including a hairpiece strip of flexible sheet material and hairpiece strands secured to the strip using an anchor tube, includes the steps of providing anchor tube; parting wearer hair along a part line; placing the hairpiece strip against the part line; piercing the hairpiece strip to form a first hair port; drawing a first bundle of wearer hair strands outwardly through the first hair port; fitting the first bundle into the anchor tube and advancing the anchor tube along the first bundle into close proximity with the hairpiece strip; looping the first bundle back toward the strip and outward again through the anchor tube; tying the first bundle to the anchor tube; and crimping the anchor tube to engagingly grip the first bundle and thereby secure the hairpiece strip relative to the wearer scalp.