In a method in the use of a construction-time elevator, at least two lifts are performed. In each of the lifts, the supporting platform is lifted higher in the elevator hoistway with the hoisting device supported by the support structure so as to extend the operating range of the elevator car to reach higher in the elevator hoistway. A second support structure and a second hoisting device, which are above the support structure, are used between the lifts of the supporting platform, for moving the working platform in the elevator hoistway under construction between the second support structure and the support structure, and for lifting the support structure upwards in the elevator hoistway.