A synthetic rigid bandage especially for splinting and/or supporting a diseased or injured limb of the human or animal apparatus of locomotion, comprising a curable core which is formed by one or more synthetic resin-impregnated layers of longitudinal strips of a textile fabric, is covered at the one side thereof with a pad and on the other side thereof with a water vapour-pervious, longitudinally and/or transversally elastic film or sheet cover, and is to be stored in a moisture-proof package, said core being mouldable in its ready-for-application state, is characterized in that the said film or sheet cover is separated from the said resin-impregnated layers by means of a spacer.