A caliper body of a brake caliper of disc brake adapted to be arranged straddling a brake disc to apply a braking action to a vehicle, wherein it comprises: - a first elongated vehicle-side element adapted to face a first braking surface of the brake disc; - a second elongated wheel-side element adapted to face a second braking surface of the brake disc opposite to said first braking surface; - each of said elongated vehicle-side and wheel-side elements (5, 7) comprises at least one thrust seat (9, 10, 11, 12) to receive at least one thrust device adapted to bias at least one brake pad (14, 15, 16, 17) against said braking surfaces (6, 8) to apply a braking action to the vehicle; - at least one caliper bridge (18, 19, 20) which connects said first elongated vehicle-side element to said second elongated wheel-side element; said at least one caliper bridge (18, 19, 20) being arranged straddling said brake disc; - and wherein said first elongated vehicle-side element, said second elongated wheel-side element and said at least one caliper bridge (18, 19, 20) are in one piece; - and wherein said caliper body comprises caliper fixing elements (21, 22, 23) to connect said caliper body to a vehicle mount, such as for example a steering knuckle; - and wherein said caliper fixing elements (21, 22, 23) are at least three in number; - said caliper fixing elements (21, 22, 23) are distributed along said elongated vehicle-side element; characterized in that - said elongated vehicle-side and wheel-side elements (5, 7) each comprise at least two pad seats (24, 25, 26, 27), each adapted to receive at least one brake pad (14, 15, 16, 17); wherein - said elongated vehicle-side and wheel-side elements (5, 7) each comprise at least two opposite abutment elements (29, 30, 31, 32) each adapted to abuttingly receive a brake pad (14, 15, 16, 17) for relieving the braking action on said caliper body; and wherein - each of said at least two opposite abutment elements (29, 30, 31, 32) is placed between two of said brake pads (14, 15, 16, 17). - a first elongated vehicle-side element adapted to face a first braking surface of the brake disc; - a second elongated wheel-side element adapted to face a second braking surface of the brake disc opposite to said first braking surface; - each of said elongated vehicle-side and wheel-side elements (5, 7) comprises at least one thrust seat (9, 10, 11, 12) to receive at least one thrust device adapted to bias at least one brake pad (14, 15, 16, 17) against said braking surfaces (6, 8) to apply a braking action to the vehicle; - at least one caliper bridge (18, 19, 20) which connects said first elongated vehicle-side element to said second elongated wheel-side element; said at least one caliper bridge (18, 19, 20) being arranged straddling said brake disc; - and wherein said first elongated vehicle-side element, said second elongated wheel-side element and said at least one caliper bridge (18, 19, 20) are in one piece; - and wherein said caliper body comprises caliper fixing elements (21, 22, 23) to connect said caliper body to a vehicle mount, such as for example a steering knuckle; - and wherein said caliper fixing elements (21, 22, 23) are at least three in number; - said caliper fixing elements (21, 22, 23) are distributed along said elongated vehicle-side element; - said elongated vehicle-side and wheel-side elements (5, 7) each comprise at least two pad seats (24, 25, 26, 27), each adapted to receive at least one brake pad (14, 15, 16, 17); wherein - said elongated vehicle-side and wheel-side elements (5, 7) each comprise at least two opposite abutment elements (29, 30, 31, 32) each adapted to abuttingly receive a brake pad (14, 15, 16, 17) for relieving the braking action on said caliper body; and wherein - each of said at least two opposite abutment elements (29, 30, 31, 32) is placed between two of said brake pads (14, 15, 16, 17).