A method for operating a safety system of a motor vehicle having a driver status detection means (27, 28), which after ascertaining a driver status parameter describing a driver status from data of the driver status detection means and reviewing, whether a trigger condition evaluating the driver status parameter, indicating an inability to drive the motor vehicle on the part of the driver is met, carries out the following steps if the trigger conditions are met: • Identify at least one safe parking area accessible for the motor vehicle in the vehicle environment by evaluation of safety parameters determined from the environment data describing he environment of the motor vehicle, which parameters describe an accident risk during the parking of the motor vehicle in an area or in a positon of the environment of the motor vehicle, • Control of vehicle systems for the autonomous longitudinal and transverse guidance of the motor vehicle to the parking area and to the parking of the motor vehicle in the parking area, wherein for the autonomous longitudinal and transverse guidance of the motor vehicle a control trajectory for the motor vehicle is determined from the environmental data, the ego-position of the motor vehicle and the parking area for at least a section of the way to the parking area, characterized in that if the drivability of the control trajectory depends on the future movement at least of one other motor vehicle (21, 22, 23, 24, 25), from the environmental data and the control trajectory a target driving maneuver or a target trajectory, in the performance of which by the other motor vehicle (21, 22, 23, 24, 25) the control trajectory for the motor vehicle is drivable, is calculated for the other motor vehicle (21, 22, 23, 24, 25) and driving instruction data describing the target driving maneuver or the target trajectory are transmitted by activation of a communications device to the other motor vehicle. • Identify at least one safe parking area accessible for the motor vehicle in the vehicle environment by evaluation of safety parameters determined from the environment data describing he environment of the motor vehicle, which parameters describe an accident risk during the parking of the motor vehicle in an area or in a positon of the environment of the motor vehicle, • Control of vehicle systems for the autonomous longitudinal and transverse guidance of the motor vehicle to the parking area and to the parking of the motor vehicle in the parking area, wherein for the autonomous longitudinal and transverse guidance of the motor vehicle a control trajectory for the motor vehicle is determined from the environmental data, the ego-position of the motor vehicle and the parking area for at least a section of the way to the parking area, characterized in that if the drivability of the control trajectory depends on the future movement at least of one other motor vehicle (21, 22, 23, 24, 25), from the environmental data and the control trajectory a target driving maneuver or a target trajectory, in the performance of which by the other motor vehicle (21, 22, 23, 24, 25) the control trajectory for the motor vehicle is drivable, is calculated for the other motor vehicle (21, 22, 23, 24, 25) and driving instruction data describing the target driving maneuver or the target trajectory are transmitted by activation of a communications device to the other motor vehicle.