A rotary labelling machine comprises a carrousel that can be pivotally driven by a carrousel motor and a plurality of container stations supported by said carrousel, wherein each container station comprises a container-holder plate and a plate motor suitable to rotate the plate about its own axis, carrousel sensor means detecting the movement of the carrousel and generating a reference signal representative of the carrousel angular position, a plurality of local control units. Each control unit is connected with one of the plate motors, respectively, and is configured to receive and process the reference signal and generate a control signal specific for said plate motor. Signal propagation means are connected to the carrousel sensor means and to the local control units to propagate the reference signal to each of the local control units.