The invention relates to a plane chain strand (50) provided with horizontal and vertical normal chain links (30, 40) which are mounted in an alternating manner and which engage into each other in a nondetachable manner with the limbs and arcs thereof. In the chain strand (50), directly in front and directly behind a chain lock link (10), at least one special chain link (20) is mounted in the same position as said chain locking link (10). The limbs of the lock links have the same outer contour, especially the same width and thickness, as the outer limbs of the two lock parts of the chain lock link (10). The wear and tear of the chain lock link (10) of said inventive plane chain strand (50) can be reduced or eliminated in comparison with conventional plane chains, by means of equal or slightly larger previous and subsequent special chain links (20).