A method for carrying out a construction process when erecting a structure using at least one mobile construction robot, which is designed to install and/or assemble workpieces for producing a building, in which a digital construction plan or a digital building model, in which nominal dimensions and dimensional tolerances of the particular building are contained, is stored in an electronic evaluation and control unit; and at least the outer dimensions of workpieces for the construction project which are relevant for the particular building are stored in the electronic evaluation and control unit; and the instantaneous actual dimensions of the particular construction project are determined by means of at least one sensor or a sensor device and are supplied to the electronic evaluation and control unit; and the search for a workpiece to be subsequently used in the particular construction process is carried out by way of the at least one mobile construction robot by means of data of the digital building model, wherein the outer dimensions of the workpiece that are relevant for the construction process being determined by way of at least one further sensor or sensor device after the workpiece to be subsequently mounted having been located and, with this, dimensional deviations from a target value which occur during an installation and/or assembly of the particular workpiece being calculated, and a decision being made based thereon as to whether the particular workpiece is installed and/or assembled in a position that corresponds to the construction project model or whether it is first processed so that the outer dimensions thereof are within dimensional tolerances after having been installed and/or placed in the particular position. a digital construction plan or a digital building model, in which nominal dimensions and dimensional tolerances of the particular building are contained, is stored in an electronic evaluation and control unit; and at least the outer dimensions of workpieces for the construction project which are relevant for the particular building are stored in the electronic evaluation and control unit; and the instantaneous actual dimensions of the particular construction project are determined by means of at least one sensor or a sensor device and are supplied to the electronic evaluation and control unit; and the search for a workpiece to be subsequently used in the particular construction process is carried out by way of the at least one mobile construction robot by means of data of the digital building model, wherein the outer dimensions of the workpiece that are relevant for the construction process being determined by way of at least one further sensor or sensor device after the workpiece to be subsequently mounted having been located and, with this, dimensional deviations from a target value which occur during an installation and/or assembly of the particular workpiece being calculated, and a decision being made based thereon as to whether the particular workpiece is installed and/or assembled in a position that corresponds to the construction project model or whether it is first processed so that the outer dimensions thereof are within dimensional tolerances after having been installed and/or placed in the particular position.