An elevator group management system includes: a hall call registration device which is provided at a first hall; a hall destination call registration device which is provided at a second hall; a notification device which is provided at the first hall; an assigned car display device which is provided at the second hall; and a group management control device which selects a priority car from among a plurality of cars. When a priority car is selected, the group management control device performs, with respect to a hall call to which the priority car is already assigned, hall call control which differs from control with respect to a hall destination call to which the priority car is already assigned.