An exhaust-gas flap device, especially for the exhaust-gas flow of an internal combustion engine, has a flap pipe and a flap plate that is supported, in the interior of the flap pipe, on a pivot shaft that is rotatable about a pivot axis. The exhaust-gas flap device further includes a pivoting drive for the pivot shaft with a drive element. A coupling unit couples the drive element to the pivot shaft for conjoint rotation about the pivot axis. Vibration-damping material is arranged in the region of the coupling unit.