An elevator group control system which carries out operation management of a plurality of cars (3A - 3C), and which includes: a hall input unit (4a, 4b) which is installed in one or more halls and by which the registration of a destination floor call is able to be made; and an assignment evaluation value calculation unit which includes a plurality of evaluation value calculation units for calculating the respective evaluation values of said plurality of cars (3A - 3C) in an individual manner, determines a final evaluation value from said respective evaluation values, and selects an optimal assigned car; wherein said assignment evaluation value calculation unit includes a stop number increment evaluation value calculation unit which calculates a stop number increment evaluation value (V1, V2, V3, V4); and wherein said stop number increment evaluation value calculation unit sets an increment variable from an increment of the number of floors to be stopped at the time when a new hall call newly generated and a new hall destination call representing a destination floor of said new hall call are temporarily assigned to each of said plurality of cars (3A - 3C), and calculates said stop number increment evaluation value (V1, V2, V3, V4) based on said increment variable thus set, characterized in that said stop number increment evaluation value calculation unit calculates the stop number increment evaluation value of each of the cars (3A - 3C) by using, as said increment variable, a power value (D^2) which is obtained by raising to a predetermined power an increment value which is calculated by subtracting a second total number of scheduled stops before the temporal assignment of the new hall destination call from a first total number of scheduled stops after the temporal assignment of the new hall destination call. a hall input unit (4a, 4b) which is installed in one or more halls and by which the registration of a destination floor call is able to be made; and an assignment evaluation value calculation unit which includes a plurality of evaluation value calculation units for calculating the respective evaluation values of said plurality of cars (3A - 3C) in an individual manner, determines a final evaluation value from said respective evaluation values, and selects an optimal assigned car; wherein said assignment evaluation value calculation unit includes a stop number increment evaluation value calculation unit which calculates a stop number increment evaluation value (V1, V2, V3, V4); and wherein said stop number increment evaluation value calculation unit sets an increment variable from an increment of the number of floors to be stopped at the time when a new hall call newly generated and a new hall destination call representing a destination floor of said new hall call are temporarily assigned to each of said plurality of cars (3A - 3C), and calculates said stop number increment evaluation value (V1, V2, V3, V4) based on said increment variable thus set, characterized in that said stop number increment evaluation value calculation unit calculates the stop number increment evaluation value of each of the cars (3A - 3C) by using, as said increment variable, a power value (D^2) which is obtained by raising to a predetermined power an increment value which is calculated by subtracting a second total number of scheduled stops before the temporal assignment of the new hall destination call from a first total number of scheduled stops after the temporal assignment of the new hall destination call.