An emergency moving device of an elevator includes a reduction gear, several first gears coupled to a shaft of the reduction gear, a first connector releasably coupled to the car, a second connector affixed to the car and releasably coupled to the first connector, a fall-prevention device releasably coupling the first connector to the second connector, and chains respectively connected to the first connector and engaging the first gears. The first connector is coupled to the steel ropes used for vertically displacing the elevator car. When the car is stopped between floors by a power failure, the passengers press an emergency button to uncouple the first connector from the second connector, so that the car is allowed to move downwardly relative to the first connector until it arrives at a next floor with the reduction gear reducing speed of the car.