In a method and apparatus for limiting the speed of motor vehicles, in cases where a speed signal is not available, engine cut-off is not rigidly activated upon exceeding a constant rotational speed threshold. Rather, a variable rotational speed threshold is determined which takes into account instantaneous or previous driving states, thereby being responsive to instantaneous or previous reactions of the vehicle's driver. This provides for an intelligent engine cut-off which accounts for operating conditions and, thus, can substantially better respond during critical driving situations.