A system for supporting a reel of stamping foil (2) that is mounted rotatably, includes: two flanges (9, 9′) connected to the shaft of the reel (2, 2′) that is positioned between the flanges, each flange having a rotary shaft extending outward of the reel; two end walls (7, 7′) mounted spaced apart on a guide surface (3′), each wall end having at least one upwardly oriented notch (10, 10′) arranged to receive the shaft of each flange (9, 9′); and a brake (13) which cooperates with and slows the rotation of the reel (2).