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 comprises at least one thrust seat to receive at least one thrust device adapted to bias at least one brake pad against said braking surfaces to apply a braking action to the vehicle; - at least one caliper bridge which connects said first elongated vehicle-side element to said second elongated wheel-side element ; said at least one caliper bridge 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 are in one piece; - and wherein said caliper body comprises caliper fixing elements to connect said caliper body to a vehicle mount, such as for example a steering knuckle; - and wherein said caliper fixing elements are at least three in number; - said caliper fixing elements are distributed along said elongated vehicle-side element ; characterized in that - said elongated vehicle-side and wheel-side elements each comprise at least two pad seats , each adapted to receive at least one brake pad ; wherein - said elongated vehicle-side and wheel-side elements each comprise at least two opposite abutment elements each adapted to abuttingly receive a brake pad for relieving the braking action on said caliper body ; and wherein - each of said at least two opposite abutment elements is placed between two of said brake pads . - 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 comprises at least one thrust seat to receive at least one thrust device adapted to bias at least one brake pad against said braking surfaces to apply a braking action to the vehicle; - at least one caliper bridge which connects said first elongated vehicle-side element to said second elongated wheel-side element ; said at least one caliper bridge 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 are in one piece; - and wherein said caliper body comprises caliper fixing elements to connect said caliper body to a vehicle mount, such as for example a steering knuckle; - and wherein said caliper fixing elements are at least three in number; - said caliper fixing elements are distributed along said elongated vehicle-side element ; - said elongated vehicle-side and wheel-side elements each comprise at least two pad seats , each adapted to receive at least one brake pad ; wherein - said elongated vehicle-side and wheel-side elements each comprise at least two opposite abutment elements each adapted to abuttingly receive a brake pad for relieving the braking action on said caliper body ; and wherein - each of said at least two opposite abutment elements is placed between two of said brake pads . <EOS>