A driver assistance system plans movement for a motor vehicle, wherein a safe state of the motor vehicle is a state of the motor vehicle in a first time step from which the motor vehicle can be transferred, as a function of a movement capability of the motor vehicle in at least one second time step which follows the first time step, into a further safe state without colliding with a road user. The driver assistance system is configured to determine for at least one future time step starting from a current state of the motor vehicle, at least one possible future state of the motor vehicle and of the road user, and to select safe future states of the motor vehicle from the possible future states of the motor vehicle and of the road user, and to plan a movement for the motor vehicle as a function of the safe future states.