A braking device (1 or 2) comprising at least one portion thereof having a braking surface (3,4 or 5) adapted to come into contact with an opposite facing braking surface (5 or 3,4) to apply a braking action; said braking surface (3,4 or 5) being circumferentially free from obstacles to allow a relative rotation between said braking surface (3,4 or 5) and opposite facing braking surface (5 or 3,4) when mutually in contact; said braking surface (3,4 or 5) defining, in any point with respect to a revolution axis (X-X) thereof if said braking surface (3,4 or 5) is fixed, or a rotation axis (X-X) thereof if said braking surface (3,4 or 5) is rotative, an axial direction (A-A) parallel to said revolution or rotation axis (X-X), a radial direction (R-R) orthogonal to said axial direction (A-A) and said revolution or rotation axis (X-X), a circumferential direction (C-C) orthogonal to said axial direction (A-A) and said radial direction (R-R) and equally spaced apart from said revolution or rotation axis (X-X), and punctually a tangential direction orthogonal to said axial direction (A-A) and said radial direction (R-R); wherein at least one support connecting portion (7 or 8) is included radially outside said braking surface (3,4 or 5), either radially away from or outside said braking surface (3,4 or 5) or either radially close to or inside said braking surface (3,4 or 5); and wherein at least one cooling portion (9 or 10) is included circumferentially and laterally to said support connecting portion (7 or 9); and wherein this cooling portion (9 or 10) has a plurality of axially through-openings adapted to increase the heat exchange surface and unadapted to create connecting surfaces; wherein said cooling portion (9 or 10) comprises a plurality of cooling fins separated from one another by said axially through-openings ; characterized in that said support connecting portion comprises a plurality of cooling fins separated from one another by said axially through-openings . said braking surface (3,4 or 5) being circumferentially free from obstacles to allow a relative rotation between said braking surface (3,4 or 5) and opposite facing braking surface (5 or 3,4) when mutually in contact; said braking surface (3,4 or 5) defining, in any point with respect to a revolution axis (X-X) thereof if said braking surface (3,4 or 5) is fixed, or a rotation axis (X-X) thereof if said braking surface (3,4 or 5) is rotative, an axial direction (A-A) parallel to said revolution or rotation axis (X-X), a radial direction (R-R) orthogonal to said axial direction (A-A) and said revolution or rotation axis (X-X), a circumferential direction (C-C) orthogonal to said axial direction (A-A) and said radial direction (R-R) and equally spaced apart from said revolution or rotation axis (X-X), and punctually a tangential direction orthogonal to said axial direction (A-A) and said radial direction (R-R); wherein at least one support connecting portion (7 or 8) is included radially outside said braking surface (3,4 or 5), either radially away from or outside said braking surface (3,4 or 5) or either radially close to or inside said braking surface (3,4 or 5); and wherein at least one cooling portion (9 or 10) is included circumferentially and laterally to said support connecting portion (7 or 9); and wherein this cooling portion (9 or 10) has a plurality of axially through-openings adapted to increase the heat exchange surface and unadapted to create connecting surfaces; wherein said cooling portion (9 or 10) comprises a plurality of cooling fins separated from one another by said axially through-openings ; characterized in that said support connecting portion comprises a plurality of cooling fins separated from one another by said axially through-openings . <EOS>