The invention concerns apparatus for measuring the velocity of low frequency mechanical vibrations, comprising two springs between which a vibratable mass is secured, two electric coils mechanically coupled to the mass, a permanent magnet core in each coil which is stationary relative to its associated coil, one coil being a measuring coil while the other is a feedback coil; and a current generator having a control input to which the measuring coil is connected while the feedback coil is connected to the generator output, the connection polarities being so selected as to produce negative feedback.