The invention relates to a safety device for apparatuses having parts freely movable in space, particularly handling equipment such as industrial robots or driverless transportation means, as well as a method for securing such apparatuses by means of such a safety device. The apparatuses have switching means which in the case of a collision of the moving parts with persons or objects emit a control signal through which the moving parts can be stopped or an emergency program can be started up, which brings about a movement sequence opposing the approach movement. The invention is characterized in that the safety device is constructed in the form of a tactile sensor system formed from optical waveguides and located on moving parts of the apparatus.