An actuator for a speed governor of an elevator system includes a governor wheel equipped with at least two flyweights. The governor wheel can be driven by a governor cable looped around it. An actuator wheel is stationary in a basic position. A coupler engages the actuator wheel when the governor wheel attains an actuation speed and thus couples with the governor wheel so that the actuator wheel is caused to rotate. An elastic material, preferably transmitting a high degree of friction, is provided between the coupler and the actuator wheel. The actuator wheel has a lining or tyre of the elastic material and/or the coupler is equipped with the elastic material.