Abstract: The invention relates to a Coriolis mass flow meter with improved zero point stability. The Coriolis mass flow meter has a pair of U-shaped measuring tubes. According to one embodiment of the invention, the Coriolis mass flow meter comprises a special housing for vibration compensation or vibration suppression in the region of the process connectors. Additionally or alternatively, a specific mass distribution of the vibration exciter and/or vibration sensor is provided, in order to neutralize unwanted vibrations by actively causing vibration.