An elevator management system (1, 20, 30, 50, 60) for managing a plurality of elevators each equipped with a control apparatus for operating a cage across a plurality of floors, the elevator management system (1, 20, 30, 50, 60) comprising a management apparatus for managing the control apparatuses, wherein the management apparatus includes: a receiving circuit configured to receive destination floor designating information and cage call information, the destination floor designating information being a status of a destination floor designating button of each cage and the cage call information being a status of a call button at each floor; an operation data table configured to store the cage call information and the destination floor designating information as operation data every time a cage makes one run along a travelling route; a memory (6, 33, 36, 53, 64) configured to accumulate and record the information received by the receiving circuit; a controller (4, 32, 52, 62) configured to learn an operation tendency of the cages based on the information recorded in the memory (6, 33, 36, 53, 64); and an output circuit configured to output management information to each control apparatus; characterized in that the controller (4, 32, 52, 62): is configured to predict the destination floor designating information and the cage call information a specified amount of time later from the information received by the receiving circuit on the basis of a result of the learning, the specified amount of time being the time needed by a cage to make one run along the travelling route; and to form the management information on the basis of a result of the prediction of the specified amount of time period later so as to limit a range of operation floors of the cages; and in that the control apparatuses are configured to control operation of the cages on the basis of the management information. a receiving circuit configured to receive destination floor designating information and cage call information, the destination floor designating information being a status of a destination floor designating button of each cage and the cage call information being a status of a call button at each floor; an operation data table configured to store the cage call information and the destination floor designating information as operation data every time a cage makes one run along a travelling route; a memory (6, 33, 36, 53, 64) configured to accumulate and record the information received by the receiving circuit; a controller (4, 32, 52, 62) configured to learn an operation tendency of the cages based on the information recorded in the memory (6, 33, 36, 53, 64); and an output circuit configured to output management information to each control apparatus; characterized in that the controller (4, 32, 52, 62): is configured to predict the destination floor designating information and the cage call information a specified amount of time later from the information received by the receiving circuit on the basis of a result of the learning, the specified amount of time being the time needed by a cage to make one run along the travelling route; and to form the management information on the basis of a result of the prediction of the specified amount of time period later so as to limit a range of operation floors of the cages; and in that the control apparatuses are configured to control operation of the cages on the basis of the management information. is configured to predict the destination floor designating information and the cage call information a specified amount of time later from the information received by the receiving circuit on the basis of a result of the learning, the specified amount of time being the time needed by a cage to make one run along the travelling route; and to form the management information on the basis of a result of the prediction of the specified amount of time period later so as to limit a range of operation floors of the cages; and in that the control apparatuses are configured to control operation of the cages on the basis of the management information.