Abstract: A flexible member air spring has an end section of the flexible member attached to a connecting part by a clamp ring. The connecting part has a slot having a truncated cone-shaped cross section. The base of the slot is cylindrical and a flank of the slot has a linear conical form. The inner surface of the clamp ring extends parallel to the base surface. In the clamped state, the inner radius of the clamp ring is less than or equal to at least one of the radii of the slot upper edges. The flexible member is not compressed between the base surface of the slot and the inner side of the clamp ring. The clamp ring, with at least one slot flank, forms a constriction clamping the flexible member wall of the end section.