Assembly of fixed caliper and hub bracket of a disc brake, comprising a fixed caliper, suitable for being arranged astride of a disc for a disc brake, said disc having a first braking surface and a second braking surface opposite the first, said disc defining an axial direction parallel to a rotation axis (A-A) thereof, a tangential or circumferential direction (T-T) parallel to one of its braking surfaces, with a disc entry direction and a disc exit direction, and a radial direction (R-R) perpendicular to the axial direction (A-A) and to the circumferential or tangential direction (T-T), the latter defining an outer radial direction when facing away from the rotation axis of the disc; said disc defining a vehicle-side volume suitable for comprising the space that from the plane containing the disc proceeds towards the vehicle, and a wheel-side volume comprising the space that from the plane containing the disc goes away from the vehicle; said fixed caliper comprising a caliper body having a first vehicle-side elongated portion; said vehicle-side elongated portion comprising a first disc entry-side tangential end and a second disc exit-side tangential end; said vehicle-side elongated portion being suitable for facing an axial inner surface thereof towards the first braking surface of the disc; said first vehicle-side elongated portion housing at least one cylinder suitable for receiving a piston to exert a pressure on at least one pad housed between said vehicle-side elongated portion of the caliper body and said braking surface of the disc; said caliper body also comprising a second wheel-side elongated portion being suitable for facing its axial inner surface towards the second braking surface of the disc and comprising a first disc entry-side tangential end and a second disc exit-side end; said second wheel-side elongated portion housing at least one cylinder suitable for receiving a piston to exert a pressure on an opposite pad housed between said second wheel-side elongated portion of the caliper body and said second braking surface of the disc; said first and second elongated portions (7, 12) being connected together by at least one bridge suitable to be arranged astride of the disc that firmly connects said first vehicle-side elongated portion to said second wheel-side elongated portion so as to prevent their relative movements and limit the deformation of the caliper body; said caliper body also comprising at least one first seat to receive a first connection element to connect said fixed caliper to said hub bracket; said at least one first seat being arranged in said first vehicle-side elongated portion; said caliper body of said fixed caliper comprises at least one second seat to receive a second connection element, wherein said at least second seat is arranged in said second wheel-side elongated portion, and wherein said hub bracket of said assembly making a support for the fixed caliper and comprising: a hub bracket body arranged substantially in said vehicle-side volume; said hub bracket body being suitable for being connected to an arm of the vehicle's suspension; said hub bracket body comprising at least one third seat or hub seat to receive said first connection element to firmly connect said first vehicle-side elongated portion to said hub bracket body; wherein, said hub bracket body has an arm that from said hub bracket body suitable to extend astride of the disc projecting a portion of the arm in said wheel-side volume, and wherein said portion of the arm arranged on the wheel side has a fourth seat or further seat to receive the second connection element for the connection of the caliper body to the hub bracket body, wherein said hub bracket body is suitable for housing a bearing to support a hub able to be connected to said disc and to a wheel of the vehicle; and wherein said fourth seat of the hub bracket body and said second seat of the caliper body extend according to the substantially tangential direction or substantially parallel to a tangential direction (T-T). a hub bracket body arranged substantially in said vehicle-side volume; said hub bracket body being suitable for being connected to an arm of the vehicle's suspension; said hub bracket body comprising at least one third seat or hub seat to receive said first connection element to firmly connect said first vehicle-side elongated portion to said hub bracket body; wherein, said hub bracket body has an arm that from said hub bracket body suitable to extend astride of the disc projecting a portion of the arm in said wheel-side volume, and wherein said portion of the arm arranged on the wheel side has a fourth seat or further seat to receive the second connection element for the connection of the caliper body to the hub bracket body, wherein said hub bracket body is suitable for housing a bearing to support a hub able to be connected to said disc and to a wheel of the vehicle; and wherein said fourth seat of the hub bracket body and said second seat of the caliper body extend according to the substantially tangential direction or substantially parallel to a tangential direction (T-T).