In a device for securing the standstill of a motor vehicle with a distance-related longitudinal dynamic control module, which is contained in at least one electronic control unit and by which the motor vehicle is decelerated down to a standstill while maintaining a defined distance from a target object, at least until reaching the standstill, a nominal brake torque is defined by the longitudinal dynamic control module for a brake control module. At a defined first time after a detected standstill of the motor vehicle, the longitudinal dynamic control module transmits a transfer signal to the brake control module. Thereupon, independently of the predefinition of a nominal brake torque by the longitudinal dynamic control module, the brake control module alone builds up and/or holds a wheel brake torque in the sense of a parking brake function. At a defined second time after a start command, the longitudinal dynamic control module defines again, by itself, a nominal brake torque, starting at the actual brake torque that is on hand at this time, for the purpose of decreasing the wheel brake torque.