An object is highly precisely moved by an industrial robot to an end position by the following steps, which are repeated until the end position is reached within a specified tolerance: Recording a three-dimensional image by means of a 3-D image recording device. Determining the present position of the object in the spatial coordinate system from the position of the 3-D image recording device the angular orientation of the 3-D image recording device detected by an angle measuring unit, the three-dimensional image, and the knowledge of features on the object. Calculating the position difference between the present position of the object and the end position. Calculating a new target position of the industrial robot while taking into consideration the compensation value from the present position of the industrial robot and a value linked to the position difference. Moving the industrial robot to the new target position.