A device and a method for determining the position of an object, in particular of a moving object, in a three dimensional space is made available. Here the device comprises at least two switchable transmitting antenna arrays having different vertical beam alignments and a number of receiving antennas arranged in a row. The transmitting antennas are arranged spaced apart by a distance that corresponds to the distance between the outer phase centers of the receiving antennas. Otherwise the transmitting antennas can be positioned arbitrarily around the receiving antenna. The horizontal beam sweep over a wide angle range is implemented by the “digital beam forming” method. The vertical object position is measured by comparing the amplitude of the received signals with sequentially operated transmitting antennas having different vertical beam directions.