The invention is related to a roundsling in the form of an endless loop consisting of a core containing at least two turns of a load-bearing strand material comprising fibres with a tenacity of at least 10 cN/dTex and a protective covering around said core, wherein the strand material is in the form of a braided or laid rope, the terminal ends of which are connected with a splice. The invention further relates to a method for constructing a roundsling comprising a step of winding a braided or laid rope on two reels such that part of the turns is on the reels and another part is between the reels wherein the part between the reels is supported, and a step of making a splice in the two terminal ends of the rope.