A method for mutually connecting at least two elongated elements, such as concrete renforcement rods, by means of a connecting member in the form of a winding spring with a center line, which winding spring is screwed on and around the elongated elements at the connecting place between the two elongated elements by rotation on the center line while expanding by contact with circumferential surfaces of the elongated elements, wherein the selected winding spring is a spiral or screw spiral shaped spring, of which at least one winding has a diameter smaller than the largest transverse dimension at the connecting place, determined by the elongated elements to be connected, which winding spring is placed with its center line at an angle with respect to the elongated elements and is screwingly moved from a thus obtained starting position in the direction of the elongated elements, which screwing movement is continued until at least one winding is diametrically expanded.