A control apparatus for elevators in which one cycle of a fluctuating demand is divided into a plurality of sections, the demand in each section or a service condition value of the elevators for the demand is measured, the demand or the service condition value of the corresponding section is estimated from the measured value, the estimated value is compared with a measured value obtained anew, so that when both the values have not been decided to differ greatly as the result of the comparison, cages may be controlled by the use of an estimative value obtained by considering the measured value obtained anew, whereas when both the values have been decided to differ greatly as the result of the comparison, the cages may be controlled by the use of the estimated value obtained without considering the measured value obtained anew, and measurement value analyzing means is comprised for analyzing the measured values differing greatly from the estimated value, in the same section, so that when a permanent change in the demand or the service condition has been noted as the result of the analysis, the cages may be controlled by the use of the estimated value obtained by considering the measured value differing greatly from the estimated value. Thus, the estimative value is caused to quickly follow up the fluctuation of the demand or the service condition value, and the responsiveness of the cages to the new demand or service condition value can be improved.