A method is provided for steering a vehicle that is to be backed into a parking space. Starting from an initial position outside the parking space, a reverse trajectory that is to be traveled to attain the parked position is determined. The vehicle reverses through five curve sections, and steering of the vehicle during the reversing procedure is controlled by an electronic control system in accordance with the reverse trajectory. When viewed from the driving direction, the second curve section represents a clothoid section, the third represents an arc section, the fourth represents an additional clothoid section and the fifth represents an additional arc section. In its initial position, the vehicle is at an angle to the longitudinal direction of the parking space and the first curve section, through which the vehicle reverses and which lies between the initial position and the start of the second curve section, is represented by a different geometrical function than the second curve section.