In a self-propelled construction machine for working ground pavements comprisingat least one machine frame,at least one height-adjustable milling drum for working the ground pavement in a working operation, driven by at least one drive unit,at least one control device for monitoring and controlling the milling depth of the milling drum and the speed of the construction machine,it is provided for the following features to be achieved: that a monitoring device detects an interruption of the working operation, and when detecting the interruption of the working operation emits a signal to interrupt the drive of the milling drum.展开▼