A moving apparatus for a load lifts the load by the torque of a motor, and balances and holds the same with the aid of a mechanical brake when the apparatus stops. A timing device is incorporated in brake control so that when the apparatus stops in response to a signal indicating that a zero speed is designated, the mechanical brake is operated with a time lag after the receipt of the signal and, as soon as the brake is applied, the power supply to the motor is cut off. This arrangement remarkably reduces the impact of stopping upon the mechanical brake and drive, lessens the wear of the brake, permits reduction in size of the components and extends the service life of the components, thus providing an apparatus which saves power in comparison with conventional equipment.