A measurement transducer includes a transducer housing, which exhibits a multiplicity of natural oscillation modes and at least a first measuring tube for conveying at least a volume fraction of the medium to be measured. The measuring tube is held to oscillation in the transducer housing and vibrator, at least at times. Also included is an electromechanical, exciter mechanism acting on the at least one measuring tube and a sensor arrangement reacting to movements, i.e. bending oscillations, of the measuring tube. Also included is a first support element fixed, i.e. directly, to the transducer housing and serving for the formation of essentially locationally fixed oscillation nodes in the transducer housing for suppressing or erasing at least one natural oscillation mode of the transducer housing. An outer oscillation system is formed by the transducer housing and at least the at least one support element and an inner oscillation system is formed by the at least one measuring tube, the medium at least instantaneously conveyed therein, and, at least in part, by the exciter mechanism and the sensor arrangement. The inner oscillation system, executes, at least at times during operation of the measurement transducer, mechanical oscillations, especially in the form of lateral oscillations.