A self-curling sheet (A) of non-conductive material is biased to curl into a tight spiral. A cut out (22) is removed from one corner of the sheet such that, when the sheet spirals, a passage (28) defined axially therethrough has one portion with a smaller diameter and another portion with a larger diameter. A pair of conductive strips (40, 50) are disposed on the self-curling sheet such that one extends peripherally around each of the larger and smaller diameter regions of the passage therethrough. The conductive segments may be electrically conductive for applying electrical impulses or fluid conductive for infusing medications. In use, a first edge (14) of the self-curling sheet is disposed adjacent a nerve trunk which is to receive the cuff therearound. The self-curling sheet is controllably permitted to curl around the nerve forming an annular cuff therearound.