A pneumatic disc brake has a caliper which straddles a brake disc, brake pads pressable against the brake disc, wherein a brake-application-side brake pad can be actuated by a brake lever of a brake application device pivotable about an eccentric axis. Against the end side, the brake lever bears a brake ram which is coupled at the other side to the brake pad or to a guide plate coupled thereto. Two pressure rams are aligned in the same direction and spaced apart from the brake ram. The pressure rams are connected in each case to the caliper and to the brake pad or to the guide plate and have a self-energizing device. The caliper has spherical-cap-shaped bearing receptacles in which rest corresponding plain bearing elements, by which the brake lever, and the pressure rams are supported on the caliper.