A clamping device for holding a container in a container handling device, for example for holding a beverage container by a neck portion, includes a first clamping arm arranged on a support plate pivotably about a first pivot shaft and having a holding portion for contact against the container to be held, and a second clamping arm arranged on the support plate pivotably about a second pivot shaft and having a holding portion for contact against the container to be held. The first pivot shaft and the second pivot shaft respectively have a cylinder pin portion for forming a form closure, radially to the longitudinal direction of the pivot shaft, with a bore in a support of a container handling device.