A self-propelled construction machine comprises a machine frame having a working means arranged thereon, and a drive means for driving left and right crawler tracks at respective predetermined chain speeds. A control unit is configured such that, based on a distance between a front reference point with respect to the machine frame in the working direction and a predetermined path, the chain speed(s) of the left and/or right crawler track is predetermined such that the front reference point moves on the predetermined path. The control unit is further configured such that, during cornering, the control is corrected based on a distance between a rear reference point with respect to the machine frame in the working direction and the predetermined path such that the distance between the rear reference point with respect to the machine frame in the working direction and the predetermined path is reduced.