The invention relates to a flat link chain (22) having a plurality of chain links (1, 1') connected to each other in an articulating manner via cradle piece pairs (3), each comprising two cradle pieces (4,4'), wherein the cradle pieces extend transversely to the longitudinal direction of the flat link chain and are disposed in openings (7, 7') of the chain links with clearance (S), and wherein contact surfaces (5, 5', 6, 6') having an arched configuration are disposed on the cradle pieces and the chain links, along which the cradle pieces and chain links rest against each other for power transmission purposes, and roller surfaces (23) having an arched configuration are disposed on the cradle pieces, along which the cradle pieces roll off on each other and/or slide against each other for power transmission purposes. The clearance of the roller pieces in relation to the opening of an adjacent chain link is smaller than 0.2 mm.