The invention relates to a method for picking up semiconductor chips from a wafer table and, optionally, their mounting on a substrate by means of a pick-and-place system. The position and orientation of the semiconductor chip to be mounted next are determined by means of a first camera and made available in the form of positional data relating to a first system of coordinates. The position and orientation of the substrate place on which the semiconductor chip will be mounted are determined by means of a second camera and made available in the form of positional data relating to a second system of coordinates. The conversion of coordinates of the first or second system of coordinates into coordinates of motion of the pick-and-place system occurs by means of two fixed mapping functions and two changeable correction vectors. The correction vectors are readjusted on the occurrence of a predetermined event.