Method for authorizing the use of a motor vehicle, in particular a two- or four-wheeled motor vehicle, that has at least a first and a second antenna, wherein the first antenna and the second antenna are at a physical interval from one another, by means of a portable identification transmitter that has an identification transmitter antenna, having the following steps: - the first vehicle antenna emits a first signal that is received by the identification transmitter antenna, - the identification transmitter ascertains at least one of the spatial components of the first electromagnetic field of the received first signal, - the second vehicle antenna emits a second signal that is received by the identification transmitter antenna, - the identification transmitter ascertains at least one of the spatial components of the second electromagnetic field of the received second signal, using an angle-resolving magnetic field sensor, - the identification transmitter transmits a measure or a value for the ascertained at least one spatial component of the first electromagnetic field of the received first signal and a measure or a value for the ascertained at least one spatial component of the second electromagnetic field of the received second signal to the vehicle, - a computer in the vehicle ascertains the angle at least between the ascertained spatial component of the first electromagnetic field of the received first signal and the ascertained spatial component of the second electromagnetic field of the received second signal, and - the vehicle provides an authorization signal for authorizing use of the motor vehicle only if the ascertained angle exceeds a predetermined threshold value, and - the threshold value that is greater than zero degrees is increased as the distance of the identification transmitter from the vehicle decreases, and the distance is determined by means of a delay-time measurement between the signals that are interchanged between vehicle and identification transmitter. - the first vehicle antenna emits a first signal that is received by the identification transmitter antenna, - the identification transmitter ascertains at least one of the spatial components of the first electromagnetic field of the received first signal, - the second vehicle antenna emits a second signal that is received by the identification transmitter antenna, - the identification transmitter ascertains at least one of the spatial components of the second electromagnetic field of the received second signal, using an angle-resolving magnetic field sensor, - the identification transmitter transmits a measure or a value for the ascertained at least one spatial component of the first electromagnetic field of the received first signal and a measure or a value for the ascertained at least one spatial component of the second electromagnetic field of the received second signal to the vehicle, - a computer in the vehicle ascertains the angle at least between the ascertained spatial component of the first electromagnetic field of the received first signal and the ascertained spatial component of the second electromagnetic field of the received second signal, and - the vehicle provides an authorization signal for authorizing use of the motor vehicle only if the ascertained angle exceeds a predetermined threshold value, and - the threshold value that is greater than zero degrees is increased as the distance of the identification transmitter from the vehicle decreases, and the distance is determined by means of a delay-time measurement between the signals that are interchanged between vehicle and identification transmitter.