A mass flow sensor includes: a vibratory measurement tube bent in a tube plane; a vibration exciter for exciting bending vibrations in a bending vibration use-mode; two vibration sensors for sensing vibrations; a support system having a support plate, bearing bodies on the inlet and sides; and a sensor housing, wherein: the support system has support system vibration modes which include elastic deformations of the support plate; the measurement tube is connected fixedly to the support plate by the bearing body on the inlet side and by the bearing body on the outlet side; and the support plate has a number of spring-loaded bearings exposed through cut-outs in the support plate by which the support plate is mounted on the sensor housing with degrees of vibrational freedom, the natural frequencies of which are lower than a use-mode natural frequency of the bending vibration use-mode.