An evacuation support apparatus for an elevator causes an elevator to perform an evacuation operation for conveying people stranded in a building including a plurality of floors to an evacuation floor in an emergency. Further, the evacuation support apparatus for an elevator includes rescue floor setting means for setting the floor determined based on a predetermined condition as a rescue floor, the floor being selected from the plurality of floors, and response floor setting means for registering a call only for the floor on which a call input device for specific persons is operated in a case of the evacuation operation as the call for an evacuation response floor, the call input device for specific persons and a call input device for general persons being provided on each of the plurality of floors. The elevator includes a common car which moves in a reciprocating manner between the rescue floor and the evacuation floor in the case of the evacuation operation. The common car is capable of responding to the registered call for the evacuation response floor in the case of the evacuation operation.