A method of controlling a group of elevators allocates target calls definitively and immediately to the individual elevators for serving the call according to higher rank and lower rank function requirements and these allocations are indicated immediately at the call input floors. A weighted sum corresponding to higher rank function requirements is formed from partial operating costs, this sum is modified into operating costs in the sense of lower rank function requirements by means of variable bonus and penalty point factors and a target call is allocated to the elevator with the lowest operating costs. A target call allocation algorithm with subordinate algorithms for the bonus and penalty point tracking and the costs computation implements this method in a computer. The bonus and penalty point factors are continuously made to follow the traffic volume or the car load group by group or elevator by elevator with the tracking algorithm. The computation of the operating costs takes place in the costs computation algorithm according to a special costs formula, wherein the readjusted bonus and penalty point factors act multiplicatively on a six term partial costs sum.