A brake caliper for disc brake comprising: - a caliper body adapted to straddle a brake disc to apply a braking action on a vehicle; - said brake disc defining an axial direction (A-A) directed either along or parallel to the rotation axis (X-X) of said brake disc; a radial direction (R-R) orthogonal to said axial direction (A-A) and a circumferential direction (C-C) orthogonal to said axial (A-A) and radial (R-R) directions, as well as a tangential direction (T-T) locally orthogonal to said axial direction (A-A) and said radial direction (R-R) and tangent to said circumferential direction (C-C); - said caliper body comprising at least one thrust device housing which accommodates a thrust device adapted to apply a bias on at least one brake pad to abut said at least one brake pad against the braking surfaces (7, 8) of said brake disc; wherein - said thrust device is operatively connected to a translating screw nut; operatively connected to a worm; said translating screw nut is operatively connected to a worm; said worm is operatively connected to a gearbox; and wherein - said worm is rotatably supported by a screw thrust bearing adapted to support in rotatable manner said worm and to apply for said worm an axial reaction, i.e. a direct reaction prevalently along said axial direction (A-A); - at least part of said pressure gearbox placed near and operatively connected to said worm is rotatably supported by at least one gearbox thrust bearing adapted to support in rotatable manner said at least one part of said reduction gear and apply for said at least one part of said reduction gear a radial reaction, that is a direct reaction prevalently along said radial direction (R-R); the brake caliper being characterized in that said thrust bearing comprises at least one radially inner slewing ring (14, 15); and wherein said gearbox comprises an epicyclic gear; and wherein said epicyclic gear comprises a fixed gear or an internally toothed body which cooperates with at least one planet gear, and wherein said at least one planet gear is rotatably supported about at least one planet gear pin; wherein said at least one planet gear pin is operatively connected to said at least one radially inner slewing ring so as to transmit the action of said gearbox to said worm by means of said at least one radially inner slewing ring. - a caliper body adapted to straddle a brake disc to apply a braking action on a vehicle; - said brake disc defining an axial direction (A-A) directed either along or parallel to the rotation axis (X-X) of said brake disc; a radial direction (R-R) orthogonal to said axial direction (A-A) and a circumferential direction (C-C) orthogonal to said axial (A-A) and radial (R-R) directions, as well as a tangential direction (T-T) locally orthogonal to said axial direction (A-A) and said radial direction (R-R) and tangent to said circumferential direction (C-C); - said caliper body comprising at least one thrust device housing which accommodates a thrust device adapted to apply a bias on at least one brake pad to abut said at least one brake pad against the braking surfaces (7, 8) of said brake disc; wherein - said thrust device is operatively connected to a translating screw nut; operatively connected to a worm; said translating screw nut is operatively connected to a worm; said worm is operatively connected to a gearbox; - said worm is rotatably supported by a screw thrust bearing adapted to support in rotatable manner said worm and to apply for said worm an axial reaction, i.e. a direct reaction prevalently along said axial direction (A-A); - at least part of said pressure gearbox placed near and operatively connected to said worm is rotatably supported by at least one gearbox thrust bearing adapted to support in rotatable manner said at least one part of said reduction gear and apply for said at least one part of said reduction gear a radial reaction, that is a direct reaction prevalently along said radial direction (R-R); the brake caliper being characterized in that said thrust bearing comprises at least one radially inner slewing ring (14, 15); and wherein said gearbox comprises an epicyclic gear; and wherein said epicyclic gear comprises a fixed gear or an internally toothed body which cooperates with at least one planet gear, and wherein said at least one planet gear is rotatably supported about at least one planet gear pin; wherein said at least one planet gear pin is operatively connected to said at least one radially inner slewing ring so as to transmit the action of said gearbox to said worm by means of said at least one radially inner slewing ring.