The invention relates to a system for limiting horizontal movements in a lift for humans or equipment in eg. a wind turbine tower or the like. The lift is to be provided with one or more sliding devices which, during the movement of the lift, guide(s) the lift by cooperating with a cable or the like. The system further includes a securing device for direct or indirect anchoring of the cable to the wind turbine tower. The sliding device and the securing device include tubular units that are adapted to each other to the effect that the tubular unit of the securing device is able to slide within the tubular unit of the sliding device.