Abstract: To decelerate an elevator to a floor, the position of the elevator is determined and this data is used to calculate a required deceleration value with which the speed and deceleration of the elevator are reduced to zero upon reaching the floor and the deceleration changes by the amount of a constant jerk during the final round-off. A deceleration reference value is repeatedly compared with the required deceleration value determined on the basis of the position data, and the deceleration reference value is changed towards the required deceleration value based on the position data. During deceleration, the system is monitored to establish the point of time when the conditions for starting the final round-off are valid, and the final round-off is started accordingly. After the starting point of the final round-off, a speed reference value is determined using a jerk that fulfills the carting conditions.