A method for manufacturing a covering system for a motor vehicle seat member includes the steps of: providing a support, a cover and a pad; associating the support with the cover, the pad being left free between the support and the cover; and creating longitudinal seam lines, one on either side of the pad. The longitudinal seam lines join together the support and the cover. The longitudinal seam lines form straight segments, extending in a transverse direction towards the first pad, and join together the support, the cover, and the first pad.