The invention relates to a self-propelled construction machine, in particular a road milling machine or a slipform paver, which can carry out translational and/or rotational movements for a planned project on a terrain. In addition, the invention relates to a method for visualizing the working environment of a construction machine moving on the terrain, in particular a road milling machine or a slipform paver. The construction machine comprises an image recording unit for recording an image segment of the terrain located in a coordinate system (X, Y, Z) dependent on the position and orientation of the construction machine on the terrain, and a display unit for displaying the image segment of the terrain. Moreover, the construction machine comprises a data processing unit which is configured in such a way that a depiction of a part of the project located in the image segment is superimposed on the image segment of the terrain displayed on the display unit, such that the project is visualized in the image segment. The display unit thus displays not only the actual image segment, but also a virtual image of the project, thus widening the perception of the machine operator. As a result, the machine operator can identify on the display unit whether the project forming the basis of the control matches the reality.