An elevator group control system in which, in response to origination of a new hall call, a floor-stop call evaluation factor indicative of the degree of saving of power consumption is computed besides a serviceability evaluation factor indicative of the passenger serviceability, for example, the waiting time. One of these evaluation factors is weighted relative to the other to compute an allocation evaluation factor indicative of the suitability of allocation of the new hall call to one of the elevator cars, and the new hall call is allotted to the elevator car which is decided to be most suitable for the service in respect of the value of the allocation evaluation factor.