The objective of this thesis was the development of a mathematical model to simulate a driver of a vehicle with built-in longitudinal and lateral control as well as the design of a software package which was implemented in an existing vehicle simulation software system. The first part describes a useful roadway model, which provides all the necessary information for the driver and includes all the road surface conditions, important for dynamic vehicle simulations. Processing all the informations about the path of the roadway the model of the driver for the longitudinal control computes an approximate target speed. This target speed is then approached and maintained by setting an appropriate acceleration by means of the accelerator or the brake pedals. The model of the driver for the lateral control is capable to follow the curves of the roadway and is able to compensate various disturbances, such as crosswinds. The model is organized in four different levels: - The first level is an anticipatory open loop control system, which controls the steering angle depending on the actual and expected curvature of the roadway and additionally on the individual steering behaviour of the vehicle. The simulated driver is able to adapt to the individual characteristics of the car. - The second level represents a predicting closed loop control system. A correction to the steering angle is calculated from the expected lateral drift and yawing offset angle of the car. - The third level is a typical compensatory closed loop control system, which generates a compensating steering angle in case of road tracking errors. - The fourth level finally simulates the drivers reactions in unexpected and especially dangerous situations.