An elevator group control apparatus includes a parameter calculating unit for determining a weighting factor for an item to be evaluated, which is calculated from a running distance estimated by an estimation arithmetic operation unit by taking into consideration a relation between a running distance of an elevator and a passenger average waiting time, and an evaluation arithmetic operation unit for calculating a total evaluated value from an item to be evaluated of a passenger waiting time, an item to be evaluated of the running distance, and the weighting factor determined by the parameter calculating unit. The elevator group control apparatus selects an elevator whose total evaluated value is the best from among the plurality of elevators, and assigns a hall call to the selected elevator.