Abstract: A method of and a sewing machine for affixing a continuous chain of coupling members for a slide fastener to a flexible support, e.g. a garment or a tape to be applied to a garment, utilizes a fabric fed by a mechanism below the worktable and a presser foot with a feeder above the worktable which advances the coupling chain in a composite movement including up-and-down and back-and-forth components. According to the invention, at least one of the drives is adjustable so that the increment of the displacement of the respective member (fabric or coupling chain) can be varied to ensure that the two members are stitched together free from undulations or corrugations after the stitching operation or any subsequent treatment to which the product may be subjected.