Assembly of service and parking calliper for disc brake comprising: - a service calliper body arranged astride of a disc for disc brake having a first vehicle side elongated element suitable for facing a first braking surface of the brake disc, said first elongated element comprising at least a first cylinder housing a first thrust piston suitable for exerting a thrust action of a faced first service pad for abutting it against a first braking surface of the disc and exerting a service braking action of the vehicle; - said first elongated element comprising at least a first abutment and guide pivot or pin of the first pad for guiding it and receiving the braking action of the vehicle; - said service calliper body further comprising a second wheel side elongated element suitable for facing a second braking surface of the brake disc, said second elongated element comprising at least a second cylinder housing a second thrust piston suitable for exerting a thrust action on a second faced service pad for abutting it against a second braking surface of the disc and exerting a service braking action of the vehicle; - said service calliper body further comprises at least a first bridge suitable for connecting said first vehicle side elongated element to said second wheel side elongated element; said assembly further comprises: - a parking calliper comprising separated thrust means of the parking calliper separated from said first and second cylinder (6, 11) and suitable for abutting at least a third parking pad against the first braking surface of the disc; - said parking calliper has a connection for connecting and supporting at least partially said parking calliper to said service calliper body; characterised in that - said connection of the parking calliper to the service calliper body comprises a first locking screw arranged coaxially to said first pin for supporting and guiding the first service pad. - a service calliper body arranged astride of a disc for disc brake having a first vehicle side elongated element suitable for facing a first braking surface of the brake disc, said first elongated element comprising at least a first cylinder housing a first thrust piston suitable for exerting a thrust action of a faced first service pad for abutting it against a first braking surface of the disc and exerting a service braking action of the vehicle; - said first elongated element comprising at least a first abutment and guide pivot or pin of the first pad for guiding it and receiving the braking action of the vehicle; - said service calliper body further comprising a second wheel side elongated element suitable for facing a second braking surface of the brake disc, said second elongated element comprising at least a second cylinder housing a second thrust piston suitable for exerting a thrust action on a second faced service pad for abutting it against a second braking surface of the disc and exerting a service braking action of the vehicle; - said service calliper body further comprises at least a first bridge suitable for connecting said first vehicle side elongated element to said second wheel side elongated element; - a parking calliper comprising separated thrust means of the parking calliper separated from said first and second cylinder (6, 11) and suitable for abutting at least a third parking pad against the first braking surface of the disc; - said parking calliper has a connection for connecting and supporting at least partially said parking calliper to said service calliper body; - said connection of the parking calliper to the service calliper body comprises a first locking screw arranged coaxially to said first pin for supporting and guiding the first service pad.