An elevator, preferably an elevator without counterweight, comprising a number of diverting pulleys in the upper part of an elevator shaft or equivalent, a number of diverting pulleys in the lower part of the elevator shaft and a number of diverting pulleys on an elevator car, is installed in such manner that at least some of the diverting pulleys for the upper part are rigged in the lower part of the elevator shaft and at least some of the diverting pulleys from which the passage of the ropes is directed upwards are rigged at the same time. The diverting pulleys for the upper part thus rigged are raised in the rigged state to the upper part of the elevator shaft or equivalent and mounted in place.