A sewing method of cloth and a double-chain-ring sewing machine transfer the cloth towards a specified sewing advancing direction along an upper surface of a needle plate, and form a stitch ring at a lower side of the needle plate by utilizing two needles which keep stitching and move up and down, and catch the stitch ring through advancing of a curved needle which can advance and retreat in a direction approximately orthogonal to an up-down moving path of the needle, and utilize a looper thread maintained by the curved needle to wind the caught stitch ring, so that double-chain-ring stitch is formed on the cloth, at the moment, a movement guiding stitch diagonal member is utilized to perform movement guide to a stitch end part which is protruded onto a surface of the cloth when the stitch of the first needle begins, so as to form a state of falling and tilting towards a downstream side of the sewing advancing direction, thereby sewing and processing the stitch end part into the double-chain-ring stitch. Therefore, cut processing for the stitch end part does not cost time, thereby realizing labor saving, raising the efficiency of sewing operation and operability of the cloth, and preventing damages to the cloth.