Abstract: A sawing chain for chain saws, having a plurality of chain links which are linked together so as to be mutually pivotable in a common plane of extent and advance (which plane is in the operating plane of the chain) and which links bear cutting elements. To facilitate replacement of damaged individual links, and to simplify the driving and guiding of the chain, the chain links are linked together in succession in a direct intermeshing fashion i.e. not relying on fasteners to mediate the linkage of the successive chain links, along edge surfaces which extend transversely to the common plane of extent and advance (which plane is in the operating plane of the chain), resulting in a chain structure which is resistant to flexure in the direction perpendicular to the plane.