A rope sway reducing arrangement hinders a lateral sway of an elongate rope-like device having one end attached to a movable component displaceable within an elevator hoistway and another end attached to a fixed position within the hoistway. The sway reducing arrangement includes an elongate guide arrangement having two spanning ropes fixedly attached within and extending in a longitudinal direction of the hoistway. The sway reducing arrangement further includes a rope tensioning arrangement having a weight member and being mechanically connected to the guide arrangement for displacement and guiding along the longitudinal direction of the guide arrangement. The mechanical connection is via an engagement member to generate tensioning forces onto the rope-like device due to gravity-induced forces resulting from a weight of the weight member. Thereby, the rope-like device is held at the guide arrangement with a downward directed mechanical tension thereby preventing excessive lateral sway.