A tire puncture repair apparatus may include a handle, a puncture repair screw, and an integral neck between the handle and the puncture repair screw. The puncture repair screw may include a screw head, a cylindrical shaft extending from the screw head opposite the neck, a partially threaded and solid cone that uniformly narrows from the shaft to a tip opposite the shaft, and a conic-helical thread coiled about the cone between the tip and the shaft. The diameter of the shaft may be approximately equal to the diameter of the cone at the widest point of the cone. The thread on the cone may include an angled ridge and may be coiled around the cone from the intersection of the shaft and the cone to before tip of the cone.