A flowmeter having an inlet through which the medium can flow into a measurement zone and having an outlet through which the medium can flow out, wherein a damping device is provided in front of the inlet, and has a first mass which can be flowed through having a first inlet and a first outlet for the medium, a second mass which can be flowed through having a second inlet and a second outlet for the medium as well as a flow connection which is capable of vibration and which connects the first outlet to the second inlet, wherein a minimal flow cross-section (d) of the flow connection is smaller than the inlet cross-section (E) at the first inlet or smaller than the outlet cross-section (A) at the second outlet.