A construction machine, in particular in the form of a crane such as a revolving tower crane, having a control apparatus for controlling at least one piece of work equipment of the construction machine using a structure data model that includes digital information on a structure to be erected and/or to be worked. A method of controlling such a construction machine with the aid of digital data from such a structure data model. The construction machine has a data exchange module connectable to the master construction site computer for the exchange of digital data with a master construction site computer, with the data exchange module having reading and/or writing means for reading and/or writing access to the master construction site computer. The construction machine carries out at least individual work steps such as the traveling of a construction element in automated manner using digital data from the master construction site computer. A control module that can be positioned at the load suspension means and/or at the construction element to be traveled and that can be configured as a wearable, in particular in the form of gloves having integrated movement control sensors is provided for the fine positioning.