A method and an apparatus for determining the position and orientation of a mobile transmitter that has at least two linearly polarized antennas arranged at a predefined angle to one another. A plurality of receivers, which can be synchronized with the mobile transmitter and of which the position is known, each receive transmitter signals of predefined carrier frequency via a circularly polarized antenna. A field-theoretical model of the transmission path between the mobile transmitter and receivers is set up and defines the carrier phase measured values, the field-theoretical model is implemented in a Kalman filter, and the receiver signals are evaluated in terms of carrier phase measured values and/or time of arrival values. The position and orientation of the mobile transmitter are determined in the Kalman filter with use of the field-theoretical model and the carrier phase measured values and/or time of arrival values established from the receiver signals.