A method performs an automated process for parking a motor vehicle in a longitudinal parking space, wherein the vehicle automatically controls the longitudinal and transverse movement of the vehicle and the vehicle is moved, in one or more moves, into a position in the longitudinal parking space in which the vehicle is aligned in the longitudinal direction substantially parallel to a lateral delimitation line of the longitudinal parking space and is at a permissible distance from the lateral delimitation line of the longitudinal parking space. The method is characterized in that the distance from a front delimiting object of the parking space is determined in the aligned position and, depending on the distance, the vehicle performs an additional correction move, in which the vehicle is moved in the forward or reverse direction under automatic control with a steering angle of substantially zero degrees.