A vibration meter and a method of measuring a viscosity of a fluid flowing through a pipe are disclosed. The vibration meter comprises meter electronics and a transducer assembly with an electromechanical excitation arrangement and with a flow tube which oscillates in operation. A sensor arrangement produces sensor signals representative of inlet-side and outlet-side deflections of the flow tube. An evaluation circuit derives from said sensor signals and from an excitation current generated by an excitation circuit for the excitation arrangement a viscosity value representative of the viscosity of the fluid.