An energy guiding chain and side part therefore are proposed. In energy guiding chains, the pivotability of connected chain links against each other is typically limited by cooperating abutments with abutment surfaces arranged on the side parts. The invention concerns elastically deformable damping elements which dampen the abutting motion of the areas between the abutments and the abutment surfaces. In accordance with the invention, at least some abutments have a damping bow which is convexly curved in the direction of the respective other abutment surface and behind which a free space is provided, both ends of the damping bow being firmly connected to the respective abutment in the manner of an arched bridge. Furthermore, the damping bow is connected in one piece to the inner wall of the respective side part facing the inner guide channel.