A system for monitoring a hazard zone of a robot, having at least one sensor having at least one spatial monitored zone for monitoring the hazard zone; and a control and evaluation unit; and a robot controller for controlling the movements of at least one hazardous part of the robot, wherein the robot controller and the control and evaluation unit are electronically connected to one another by means of at least one interface; wherein the sensor is configured to cyclically transmit at least 3D data of the monitored zone to the control and evaluation unit; wherein the sensor and the control and evaluation unit are further configured to generate at least one spatial protected zone in the monitored zone; wherein the control and evaluation unit is configured to localize persons in the monitored zone of the sensor with reference to the 3D data and to determine their distance from the hazardous part of the robot, wherein the control and evaluation unit is configured to arrange the spatial protected zone such that the spatial protected zone completely surrounds and includes the hazardous part of the robot and a surface of the protected zone forms an outer safety boundary, with the control and evaluation unit being configured to fix the location of the safety boundary in dependence on a distance, on a direction of movement and/or on a movement speed of the person with respect to the hazardous part of the robot, and wherein the robot controller is configured to freely move the hazardous part of the robot within the protected zone, characterized in that the robot controller and/or on the control and evaluation unit is/are configured to take account of the volume of the person or the volume of individual extremities and to add additional 3D buffer zones based on the volume of the person or the volume of individual extremities, with the volume of the person or the volume of individual extremities having the additional 3D buffer zones being considered in the kinematics of the hazardous part of the robot,with said 3D buffer zone additionally surrounding the protected zone. having at least one sensor having at least one spatial monitored zone for monitoring the hazard zone; and a control and evaluation unit; and a robot controller for controlling the movements of at least one hazardous part of the robot, wherein the robot controller and the control and evaluation unit are electronically connected to one another by means of at least one interface; wherein the sensor is configured to cyclically transmit at least 3D data of the monitored zone to the control and evaluation unit; wherein the sensor and the control and evaluation unit are further configured to generate at least one spatial protected zone in the monitored zone; wherein the control and evaluation unit is configured to localize persons in the monitored zone of the sensor with reference to the 3D data and to determine their distance from the hazardous part of the robot, wherein the control and evaluation unit is configured to arrange the spatial protected zone such that the spatial protected zone completely surrounds and includes the hazardous part of the robot and a surface of the protected zone forms an outer safety boundary, with the control and evaluation unit being configured to fix the location of the safety boundary in dependence on a distance, on a direction of movement and/or on a movement speed of the person with respect to the hazardous part of the robot, and wherein the robot controller is configured to freely move the hazardous part of the robot within the protected zone, characterized in that the robot controller and/or on the control and evaluation unit is/are configured to take account of the volume of the person or the volume of individual extremities and to add additional 3D buffer zones based on the volume of the person or the volume of individual extremities, with the volume of the person or the volume of individual extremities having the additional 3D buffer zones being considered in the kinematics of the hazardous part of the robot,with said 3D buffer zone additionally surrounding the protected zone.