An elevator evacuation support apparatus evacuates building occupants that have been left inside a building to a refuge floor in an emergency by managing operation of an elevator in which a plurality of floors function as service floors. The elevator evacuation support apparatus has an evacuating operation implementing portion, an evacuating operation time calculating portion, and an evacuating operation determining portion. The evacuating operation implementing portion designates at least one of the service floors as a rescue floor, and implements an evacuating operation for the elevator for transporting the building occupants from the rescue floor to the refuge floor. The evacuating operation time calculating portion receives urgency level information that indicates a degree of urgency, and calculates an estimated amount of time for continuing the evacuating operation as an evacuating operation time based on the urgency level information. The evacuating operation determining portion determines ability to continue the evacuating operation based on information from the evacuating operation time calculating portion. The evacuating operation implementing portion controls the evacuating operation based on information from the evacuating operation determining portion.