Travelator, the conveyor of which comprises a frame, which comprises a stationary first frame part and a second frame part that moves in relation to it. The drive wheel is mounted on a bearing allowing rotation onto the first frame part. The power unit rotates the drive wheel. The diverting wheel is mounted on a bearing allowing free rotation onto the second frame part. The transport surfaces are connected to a traction element which is formed as an endless loop, and which is led to pass over the drive wheel and the diverting wheel. The tightening device is arranged to act between the first frame part and the second frame part to move the diverting wheel linearly away from the drive wheel in order to exert tightening force on the traction element. The travelator comprises identification means for identifying the drive status of the conveyor, and adjustment means for adjusting the tightening force of the tightening device to different force levels based on the drive status identified. In the method the drive status of the conveyor is identified, and the tightening force of the endless traction element of the conveyor of the travelator is adjusted on the basis of the drive status identified.