Active Vibration Isolation Control (AVIC) can be used to reduce the transmissibility of external vibrations to internal vibrations. In this paper a proposal is made for integrating AVIC in a Coriolis Mass-Flow Meter (CMFM). Acceleration feedback, virtual mass and virtual skyhook damping are added to a passively suspended CMFM, resulting in a lowered suspension frequency. In addition, position feedback of the internal deformation is used to damp the internal mode. The controller design is based on a simplified model and is validated on an experimental setup. Results show that the sensitivity to external vibrations is reduced by 40. dB for the RMS measurement error.