The present invention concerns a bio-resorbable prosthesis (1, 1′) for organs with lumens, as blood vessels and the like, comprising at least one bio-absorbable material layer (2), intended to be arranged in contact with said lumen organ when said prosthesis (1, 1′) is implanted, and at least one auxetic material layer (3), arranged in contact with said at least one bio-absorbable material layer (2).The present invention also concerns a method for the production of a bio-absorbable prosthesis (1, 1′).